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1,000,000
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One million
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million
1,000,000 (one million), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione (milione in modern Italian), from mille, "thousand", plus the augmentative suffix -one.http://dictionary.reference.com/browse/million million Dictionary.com Unabridged Random House, Inc. 4 October 2010
It is commonly abbreviated:
in British English as mhttp://www.oxforddictionaries.com/definition/english/m https://web.archive.org/web/20120706075722/http://oxforddictionaries.com/definition/english/m dead July 6, 2012 m Oxford Dictionaries Oxford University Press 2015-06-30The Economist Style Guide 2015 The Economist 11th https://books.google.com/books?id=enIZBwAAQBAJ&pg=PT70 figures 9781782830917https://ec.europa.eu/info/sites/info/files/styleguide_english_dgt_en.pdf English Style Guide. A handbook for authors and translators in the European Commission 6.7 Abbreviating ‘million’ and ‘billion’ 2019 37 26 February 2019 (not to be confused with the metric prefix "m" milli, for -3, or with metre),
M,http://www.merriam-webster.com/dictionary/m m Merriam-Webster Merriam-Webster Inc. 2015-06-30http://www.collinsdictionary.com/dictionary/english/m Definition of 'M' Collins English Dictionary HarperCollins Publishers 2015-06-30
MM ("thousand thousands", from Latin "Mille"; not to be confused with the Roman numeral MM = 2,000),
mm (not to be confused with millimetre), or
mn, mln, or mio can be found in financial contexts.Averkamp Harold Q&A: What Does M and MM Stand For? http://www.accountingcoach.com/blog/what-does-m-and-mm-stand-for AccountingCoach.com AccountingCoach, LLC 25 June 2015https://aboutus.ft.com/press_release/ft-makes-change-to-style-guide FT makes change to style guide to benefit text-to-speech software Financial Times 4 February 2022 The Financial Times Ltd. 2024-03-13 The abbreviation of millions is now ‘mn’ instead of ‘m’. One of the main reasons is to benefit text-to-speech software, which reads out the ‘m’ as metres instead of millions, confusing visually impaired readers. It also comes into line with our style for billion (bn) and trillion (tn).
In scientific notation, it is written as 1 6 or 106.David Wells The Penguin Dictionary of Curious and Interesting Numbers London Penguin Group 1987 185 1,000,000 = 106 Physical quantities can also be expressed using the SI prefix mega (M), when dealing with SI units; for example, 1 megawatt (1 MW) equals 1,000,000 watts.
The meaning of the word "million" is common to the short scale and long scale numbering systems, unlike the larger numbers, which have different names in the two systems.
The million is sometimes used in the English language as a metaphor for a very large number, as in "Not in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles" and "You've asked a million-dollar question".
1,000,000 is also the square of 1000 and the cube of 100.
Visualising one million
thumb|240px|Visualisation of powers of ten from 1 to 1 million
Even though it is often stressed that counting to precisely a million would be an exceedingly tedious task due to the time and concentration required, there are many ways to bring the number "down to size" in approximate quantities, ignoring irregularities or packing effects.
Information: Not counting spaces, the text printed on 136 pages of an Encyclopædia Britannica, or 600 pages of pulp paperback fiction contains approximately one million characters.
Length: There are one million millimetres in a kilometre, and roughly a million sixteenths of an inch in a mile (1 sixteenth = 0.0625). A typical car tire might rotate a million times in a 1200 mi km on flip trip, while the engine would do several times that number of revolutions.
Fingers: If the width of a human finger is 22 mm on 8, then a million fingers lined up would cover a distance of 22 km mi on. If a person walks at a speed of 4 km/h on, it would take them approximately five and a half hours to reach the end of the fingers.
Area: A square a thousand objects or units on a side contains a million such objects or square units, so a million holes might be found in less than three square yards of window screen, or similarly, in about one half square foot (400–500 cm2) of bed sheet cloth. A city lot 70 by 100 feet is about a million square inches.
Volume: The cube root of one million is one hundred, so a million objects or cubic units is contained in a cube a hundred objects or linear units on a side. A million grains of table salt or granulated sugar occupies about 64 mL on, the volume of a cube one hundred grains on a side. One million cubic inches would be the volume of a small room 8 1 3 feet long by 8 1 3 feet wide by 8 1 3 feet high.
Mass: A million cubic millimetres (small droplets) of water would have a volume of one litre and a mass of one kilogram. A million millilitres or cubic centimetres (one cubic metre) of water has a mass of a million grams or one tonne.
Weight: A million 80 mg on honey bees would weigh the same as an 80 kg on on person.
Landscape: A pyramidal hill 600 ft m wide at the base and 100 ft m high would weigh about a million short tons.
Computer: A display resolution of 1,280 by 800 pixels contains 1,024,000 pixels.
Money: A U.S. dollar bill of any denomination has a mass of 1 g. One million dollar bills have a mass of 1 Mg kg lb in or 1 tonne (just over 1 short ton).
Time: A million seconds, 1 megasecond, is 11.57 days.
In Indian English and Pakistani English, it is also expressed as 10 lakh. Lakh is derived from sa ISO lakṣa for 100,000 in Sanskrit.
thumb|240px|One million black dots (pixels) – each tile with white or grey background contains 1000 dots (full image)
Selected 7-digit numbers (1,000,001–9,999,999)
1,000,001 to 1,999,999
1,000,003 = Smallest 7-digit prime number
1,000,405 = Smallest triangular number with 7 digits and the 1,414th triangular number
1,002,001 = 10012, palindromic square
1,006,003 = largest known generalized Wieferich prime in base 3, and only one apart from 11B^(P-1) == 1 (mod P^2) [Geralized Wieferich primes base b] http://www.fermatquotient.com/FermatQuotienten/FermQ_Sorg.txt Fermat Quotient
1,006,301 = First number of the first pair of prime quadruplets occurring thirty apart ({1006301, 1006303, 1006307, 1006309} and {1006331, 1006333, 1006337, 1006339})A059925 Initial members of two prime quadruples (A007530) with the smallest possible difference of 30
1,024,000 = Sometimes, the number of bytes in a megabyteTracing the History of the Computer - History of the Floppy Disk
1,030,301 = 1013, palindromic cube
1,037,718 = Large Schröder numberA006318 Large Schröder number
1,048,576 = 10242 = 324 = 165 = 410 = 220, the number of bytes in a mebibyte (previously called a megabyte)
1,048,976 = smallest 7 digit Leyland number
1,058,576 = Leyland number
1,058,841 = 76 x 32
1,077,871 = the amount of prime numbers between 0 and 16777216(2^24)
1,081,080 = 39th highly composite numberA002182 numbers
1,084,051 = fifth Keith primeA007629 Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)
1,089,270 = harmonic divisor numberA001599 Harmonic or Ore numbers
1,111,111 = repunit
1,112,083 = logarithmic numberA002104 Logarithmic numbers
1,129,30832 + 1 is primeA006315 Numbers n such that n^32 + 1 is prime
1,136,689 = Pell number,A000129 Pell numbers Markov numberA002559 Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z
1,174,281 = Fine numberA000957 Fine's sequence (or Fine numbers): number of relations of valence > 0 on an n-set; also number of ordered rooted trees with n edges having root of even degree
1,185,921 = 10892 = 334
1,200,304 = 17 + 27 + 37 + 47 + 57 + 67 + 77A031971 Sum_{1..n} k^n
1,203,623 = smallest unprimeable number ending in 3Collins Julia Numbers in Minutes Quercus 2019 978-1635061772 United Kingdom 140A143641 Odd prime-proof numbers not ending in 5
1,234,321 = 11112, palindromic square
1,246,863 = Number of 27-bead necklaces (turning over is allowed) where complements are equivalentA000011 Number of n-bead necklaces (turning over is allowed) where complements are equivalent
1,256,070 = number of reduced trees with 29 nodesA000014 Number of series-reduced trees with n nodes
1,262,180 = number of triangle-free graphs on 12 verticesA006785 Number of triangle-free graphs on n vertices
1,278,818 = Markov number
1,290,872 = number of 26-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowedA000013 Definition (1): Number of n-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
1,296,000 = number of primitive polynomials of degree 25 over GF(2)A011260 Number of primitive polynomials of degree n over GF(2)
1,299,709 = 100,000th prime number
1,336,336 = 11562 = 344
1,346,269 = Fibonacci number,A000045 Fibonacci numbers Markov number
1,367,631 = 1113, palindromic cube
1,388,705 = number of prime knots with 16 crossings
1,413,721 = square triangular numberA001110 Square triangular numbers
1,419,857 = 175
1,421,280 = harmonic divisor number
1,441,440 = 11th colossally abundant number,A004490 Colossally abundant numbers 11th superior highly composite number,A002201 Superior highly composite numbers 40th highly composite number
1,441,889 = Markov number
1,500,625 = 12252 = 354
1,539,720 = harmonic divisor number
1,563,372 = Wedderburn-Etherington numberA001190 Wedderburn-Etherington numbers
1,594,323 = 313
1,596,520 = Leyland number
1,606,137 = number of ways to partition {1,2,3,4,5,6,7,8,9} and then partition each cell (block) into subcells.A000258 Expansion of e.g.f. exp(exp(exp(x)-1)-1)
1,607,521/1,136,689 ≈ √2
1,647,086 = Leyland number
1,671,800 = Initial number of first century xx00 to xx99 consisting entirely of composite numbersA181098 Primefree centuries
1,679,616 = 12962 = 364 = 68
1,686,049 = Markov prime
1,687,989 = number of square (0,1)-matrices without zero rows and with exactly 7 entries equal to 1A122400 Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1
1,719,900 = number of primitive polynomials of degree 26 over GF(2)
1,730,787 = Riordan number
1,741,725 = equal to the sum of the seventh power of its digits
1,771,561 = 13312 = 1213 = 116, also, Commander Spock's estimate for the tribble population in the Star Trek episode "The Trouble with Tribbles"
1,864,637 = k such that the sum of the squares of the first k primes is divisible by k.A111441 Numbers k such that the sum of the squares of the first k primes is divisible by k
1,874,161 = 13692 = 374
1,889,568 = 185
1,928,934 = 2 x 39 x 72
1,941,760 = Leyland number
1,953,125 = 1253 = 59
1,978,405 = 16 + 26 + 36 + 46 + 56 + 66 + 76 + 86 + 96 + 106A000540 Sum of 6th powers: 0^6 + 1^6 + 2^6 + ... + n^6.
2,000,000 to 2,999,999
2,000,002 = number of surface-points of a tetrahedron with edge-length 1000A005893 Number of points on surface of tetrahedron
2,000,376 = 1263
2,012,174 = Leyland number
2,012,674 = Markov number
2,027,025 = double factorial of 15
2,085,136 = 14442 = 384
2,097,152 = 1283 = 87 = 221
2,097,593 = Leyland primeA094133 Leyland prime numbers using 2 & 21 (221 + 212)
2,118,107 = largest integer such that , where is the prime omega function for distinct prime factors. The corresponding sum for 2118107 is indeed 57.
2,124,679 = largest known Wolstenholme primeA088164 Wolstenholme primes
2,144,505 = number of trees with 21 unlabelled nodesA000055 Number of trees with n unlabelled nodes
2,162,160 = 41st highly composite number, 2079th triangular number
2,177,399 = smallest pandigital number in base 8.A049363 a(1) = 1; for n > 1, smallest digitally balanced number in base n
2,178,309 = Fibonacci number
2,222,222 = repdigit
2,266,502 = number of signed trees with 13 nodesA000060 Number of signed trees with n nodes
2,274,205 = number of different ways of expressing 1,000,000,000 as the sum of two prime numbersA065577 Number of Goldbach partitions of 10^n
2,313,441 = 15212 = 394
2,356,779 = Motzkin numberA001006 Motzkin numbers
2,405,236 = Number of 28-bead necklaces (turning over is allowed) where complements are equivalent
2,423,525 = Markov number
2,476,099 = 195
2,485,534 = number of 27-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
2,515,169 = number of reduced trees with 30 nodes
2,560,000 = 16002 = 404
2,567,284 = number of partially ordered set with 10 unlabelled elementsA000112 Number of partially ordered sets (posets) with n unlabelled elements
2,598,560 = chances of getting a royal flush in a hand of poker (52!/5!47!) (n choose r)
2,646,723 = little Schröder number
2,674,440 = Catalan numberA000108 Catalan numbers
2,692,537 = Leonardo prime
2,704,900 = initial number of fourth century xx00 to xx99 containing seventeen prime numbersA186509 Centuries containing 17 primesThere are no centuries containing more than seventeen primes between 200 and 122,853,771,370,899 inclusive,A186311 Least century 100k to 100k+99 with exactly n primes and none containing more than fifteen between 2,705,000 and 839,296,299 inclusive.A186408 Centuries containing 16 primes {2,704,901, 2,704,903, 2,704,907, 2,704,909, 2,704,927, 2,704,931, 2,704,937, 2,704,939, 2,704,943, 2,704,957, 2,704,963, 2,704,969, 2,704,979, 2,704,981, 2,704,987, 2,704,993, 2,704,997}
2,744,210 = Pell number
2,796,203 = Wagstaff prime,A000979 Wagstaff primes Jacobsthal prime
2,825,761 = 16812 = 414
2,890,625 = 1-automorphic numberA003226 Automorphic numbers
2,922,509 = Markov prime
2,985,984 = 17282 = 1443 = 126 = 1,000,00012 AKA a great-great-gross
3,000,000 to 3,999,999
3,111,696 = 17642 = 424
3,200,000 = 205
3,263,443 = sixth term of Sylvester's sequenceA000058 Sylvester's sequence
3,276,509 = Markov prime
3,294,172 = 22×77A048102 Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i
3,301,819 = alternating factorialA005165 Alternating factorials
3,333,333 = repdigit
3,360,633 = palindromic in 3 consecutive bases: 62818269 = 336063310 = 199599111
3,418,801 = 18492 = 434
3,426,576 = number of free 15-ominoes
3,524,578 = Fibonacci number, Markov number
3,554,688 = 2-automorphic numberA030984 2-automorphic numbers
3,626,149 = Wedderburn–Etherington prime
3,628,800 = 10!
3,748,096 = 19362 = 444
3,880,899/2,744,210 ≈ √2
4,000,000 to 4,999,999
4,008,004 = 20022, palindromic square
4,037,913 = sum of the first ten factorials
4,084,101 = 215
4,100,625 = 20252 = 454
4,194,304 = 20482 = 411 = 222
4,194,788 = Leyland number
4,202,496 = number of primitive polynomials of degree 27 over GF(2)
4,208,945 = Leyland number
4,210,818 = equal to the sum of the seventh powers of its digits
4,213,597 = Bell numberA000110 Bell or exponential numbers
4,260,282 = Fine number
4,297,512 = 12-th derivative of xx at x=1A005727 n-th derivative of x^x at 1. Also called Lehmer-Comtet numbers
4,324,320 = 12th colossally abundant number, 12th superior highly composite number, pronic number
4,400,489 = Markov number
4,444,444 = repdigit
4,477,456 = 21162 = 464
4,636,390 = Number of 29-bead necklaces (turning over is allowed) where complements are equivalent
4,741,632 = number of primitive polynomials of degree 28 over GF(2)
4,782,969 = 21872 = 97 = 314
4,782,974 = n such that n | (3n + 5)A277288 Positive integers n such that n divides (3^n + 5)
4,785,713 = Leyland number
4,794,088 = number of 28-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
4,805,595 = Riordan numberA005043 Riordan number
4,826,809 = 21972 = 1693 = 136
4,879,681 = 22092 = 474
4,913,000 = 1703
4,937,284 = 22222
5,000,000 to 5,999,999
5,049,816 = number of reduced trees with 31 nodes
5,096,876 = number of prime numbers having eight digitsA006879 Number of primes with n digits.
5,134,240 = the largest number that cannot be expressed as the sum of distinct fourth powers
5,153,632 = 225
5,195,977 = smallest number n such that the sum of reciprocals of primes up to n exceeds 3A016088
5,221,225 = 22852, palindromic square
5,293,446 = Large Schröder number
5,308,416 = 23042 = 484
5,496,925 = first cyclic number in base 6
5,555,555 = repdigit
5,623,756 = number of trees with 22 unlabelled nodes
5,702,887 = Fibonacci number
5,761,455 = the number of primes under 100,000,000
5,764,801 = 24012 = 494 = 78
5,882,353 = 5882 + 23532
6,000,000 to 6,999,999
6,250,000 = 25002 = 504
6,436,343 = 235
6,536,382 = Motzkin number
6,625,109 = Pell number, Markov number
6,666,666 = repdigit
6,765,201 = 26012 = 514
6,948,496 = 26362, palindromic square
7,000,000 to 7,999,999
7,109,376 = 1-automorphic number
7,311,616 = 27042 = 524
7,453,378 = Markov number
7,529,536 = 27442 = 1963 = 146
7,652,413 = Largest n-digit pandigital prime
7,777,777 = repdigit
7,779,311 = A hit song written by Prince and released in 1982 by The Time
7,861,953 = Leyland number
7,890,481 = 28092 = 534
7,906,276 = pentagonal triangular number
7,913,837 = Keith number
7,962,624 = 245
8,000,000 to 8,999,999
8,000,000 = 2003, Used to represent infinity in Japanese mythology
8,053,393 = number of prime knots with 17 crossings
8,108,731 = repunit prime in base 14
8,388,607 = second composite Mersenne number with a prime exponent
8,388,608 = 223
8,389,137 = Leyland number
8,399,329 = Markov number
8,436,379 = Wedderburn-Etherington number
8,503,056 = 29162 = 544
8,675,309 = A hit song for Tommy Tutone (also a twin prime with 8,675,311)
8,675,311 = Twin prime with 8,675,309
8,877,691 = number of nonnegative integers with distinct decimal digitsA344389 a(n) is the number of nonnegative numbers < 10^n with all digits distinct.
8,888,888 = repdigit
8,946,176 = self-descriptive number in base 8
8,964,800 = Number of 30-bead necklaces (turning over is allowed) where complements are equivalent
9,000,000 to 9,999,999
9,000,000 = 30002
9,069,229 = 13 × 293 × 2,381, Strong pseudoprime to base two, first strong pseudoprime to have a multiplicative order above 100,000 (104,244)
9,150,625 = 30252 = 554
9,227,465 = Fibonacci number, Markov number
9,256,396 = number of 29-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
9,261,000 = 2103
9,369,319 = Newman–Shanks–Williams primeA088165 NSW primes
9,647,009 = Markov number
9,653,449 = square Stella octangula number
9,581,014 = n such that n | (3n + 5)
9,663,500 = Initial number of first century xx00 to xx99 that possesses an identical prime pattern to any century with four or fewer digits: its prime pattern of {9663503, 9663523, 9663527, 9663539, 9663553, 9663581, 9663587} is identical to {5903, 5923, 5927, 5939, 5953, 5981, 5987}A164987 First pair of primes (p1, p2) that begin centuries of primes having the same prime configuration, ordered by increasing p2. Each configuration is allowed only once.A258275 Smallest number k > n such that the interval k*100 to k*100+99 has exactly the same prime pattern as the interval n*100 to n*100+99
9,694,845 = Catalan number
9,699,690 = eighth primorial
9,765,625 = 31252 = 255 = 510
9,800,817 = equal to the sum of the seventh powers of its digits
9,834,496 = 31362 = 564
9,865,625 = Leyland number
9,926,315 = equal to the sum of the seventh powers of its digits
9,938,375 = 2153, the largest 7-digit cube
9,997,156 = largest triangular number with 7 digits and the 4,471st triangular number
9,998,244 = 31622, the largest 7-digit square
9,999,991 = Largest 7-digit prime number
9,999,999 = repdigit
Prime numbers
There are 78,498 primes less than 106, where 999,983 is the largest prime number smaller than 1,000,000.
Increments of 106 from 1 million through a 10 million have the following prime counts:
70,435 primes between 1,000,000 and 2,000,000.
67,883 primes between 2,000,000 and 3,000,000.
66,330 primes between 3,000,000 and 4,000,000.
65,367 primes between 4,000,000 and 5,000,000.
64,336 primes between 5,000,000 and 6,000,000.
63,799 primes between 6,000,000 and 7,000,000.
63,129 primes between 7,000,000 and 8,000,000.
62,712 primes between 8,000,000 and 9,000,000.
62,090 primes between 9,000,000 and 10,000,000.
In total, there are 586,081 prime numbers between 1,000,000 and 10,000,000.https://primes.utm.edu/nthprime/ The Nth Prime Page Caldwell Chris K. PrimePages PrimePages 2022-12-03 From the differences of the prime indexes of the smallest and largest prime numbers in ranges of increments of 105, plus 1 (for each range).
See also
Huh (god), depictions of whom were also used in hieroglyphs to represent 1,000,000
Megagon
Millionaire
Names of large numbers
Orders of magnitude (numbers) to help compare dimensionless numbers between 1,000,000 and 10,000,000 (106 and 107)
Notes
References
30em
10
Category:Integers
Category:Large numbers
Category:Powers of ten