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11 (number)
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the number 11 (disambiguation)
11 (eleven) is the natural number following 10 and preceding 12. It is the smallest number whose name in English has three syllables. 11 prime 5th 1, 11 hendeca-/hendeka- undeca- Bangla te ১১ Hebrew numeral י"א Devanagari numerals hi ११ Malayalam ml ൰൧ Tamil numerals ta கக Telugu te ౧౧ Babylonian numeral 𒌋𒐕 undecimal
Name
"Eleven" derives from the Old English ang ęndleofon, which is first attested in Bede's late 9th-century Ecclesiastical History of the English People.Specifically, in the line ang Osred ðæt rice hæfde endleofan wintra.Bede, Eccl. Hist., Bk. V, Ch. xviii. It has cognates in every Germanic language (for example, German de elf), whose Proto-Germanic ancestor has been reconstructed as gem-x-proto *ainalifa-,Kroonen Guus Etymological Dictionary of Proto-Germanic 2013 Brill Leiden 978-90-04-18340-7 11f from the prefix gem-x-proto *aina- (adjectival "one") and suffix gem-x-proto *-lifa-, of uncertain meaning. It is sometimes compared with the Lithuanian lt vienúolika, though lt -lika is used as the suffix for all numbers from 11 to 19.
The Old English form has closer cognates in Old Frisian, Saxon, and Norse, whose ancestor has been reconstructed as gem-x-proto *ainlifun. This was formerly thought to be derived from Proto-Germanic gem-x-proto *tehun ("ten");Dantzig Tobias 1930 Number: The Language of Science . it is now sometimes connected with gem-x-proto *leikʷ- or gem-x-proto *leip- ("left; remaining"), with the implicit meaning that "one is left" after counting to ten.Oxford English Dictionary, 1st ed. "eleven, adj. and n." Oxford University Press (Oxford), 1891.
Mathematics
11 is a prime number, and a super-prime. 11 forms a twin prime pair with 13,A001359 Lesser of twin primes. 2023-01-22 and sexy prime pairs with both 5 and 17. 11 is also the first prime exponent that does not yield a Mersenne prime because 211 − 1 is not prime:
211 − 1 = 2047 = 23 × 89.
(5, 11) is a pair of brown numbers because 5! + 1 = 112. Only three such pairs of numbers are known.Brocard's Problem BrocardsProblem 24 July 2025 Rows in Pascal's triangle can be seen as representation of powers of 11.27957164 Mueller Francis J. More on Pascal's Triangle and powers of 11 The Mathematics Teacher 1965 58 5 425–428 10.5951/MT.58.5.0425
Geometry
150px|thumb|Copper engraving of a hendecagon, by Anton Ernst Burkhard von Birckenstein (1698)
An 11-sided polygon is called a hendecagon, or undecagon. A regular hendecagon is the polygon with the fewest number of sides that is not able to be constructed with a straightedge, compass, and angle trisector.Gleason Andrew M. Andrew M. Gleason https://www.tandfonline.com/doi/abs/10.1080/00029890.1988.11971989?journalCode=uamm20 Angle trisection, the heptagon, and the triskaidecagon American Mathematical Monthly 95 3 1988 Taylor & Francis, Ltd 191–194 10.2307/2323624 935432 2323624 119831032 subscription
The Mathieu group is the smallest of twenty-six sporadic groups. It has order , with 11 as its largest prime factor. is the maximal subgroup Mathieu group , where 11 is also its largest prime factor.August 2024
List of basic calculations
Multiplication12345678910111213141516171819202550100100011 × x112233445566778899110121132143154165176187198209220275550110011000
Division12345678910111213141511 ÷ x115.53.62.752.21.831.5714281.3751.21.110.9160.8461530.78571420.73x ÷ 110.090.180.270.360.450.540.630.720.810.9011.091.181.271.36
Exponentiation123456789101111x11121133114641161051177156119487171214358881235794769125937424601285311670611x11120481771474194304488281253627970561977326743858993459231381059609100000000000285311670611
Music
Eleven (disambiguation)#Music
The interval of an octave plus a fourth is an 11th. A complete 11th chord has almost every note of a diatonic scale.
In just intonation and microtonal music theory, the number 11 or the ratio 11/8 denotes an interval between that of a perfect fifth and of a tritone; eleven eighths the frequency of the fundamental tone, or the eleventh harmonic. It is an unstable interval and appears mostly in contemporary and experimental music.
Cultural references
Film
In the mockumentary film "This Is Spinal Tap", the idiomatic phrase up to eleven is coined to allude to going beyond typical limits, in this case guitar amplifier volume levels.
"Eleventh hour"
Being one hour before 12:00, the eleventh hour means the last possible moment to take care of something, and often implies a situation of urgent danger or emergency (see Doomsday clock). "The eleventh hour" is a phrase in the Parable of the Workers in the Vineyard in the Bible.
Eleventh Night
Eleventh Night
In Protestant communities in Northern Ireland, bonfires are lit to mark the eve of Protestant William III of England's victory over the Catholic James II of England at the Battle of the Boyne.
Languages
While 11 has its own name in Germanic languages such as English, German, or Swedish, and some Latin-based languages such as Spanish, Portuguese, and French, it is the first compound number in many other languages: Chinese zh 十一 zh-Latn shí yī, Korean ko 열하나 ko-Latn yeol hana or ko 십일 ko-Latn ship il.
In Basque, eu hamaika, "11", also means "a lot".Orotariko Euskal Hiztegia https://www.euskaltzaindia.eus/index.php?option=com_oehberria&task=bilaketa&Itemid=413&lang=en&query=hamaika 25 September 2025 es hamaika (Con valor indeterminado). Muchos. (Usado siempre con decl. indet.: en esta acepción el vb. concuerda tanto en pl. como, quizá algo más frecuentemente, en sing.).
Religion
The number 11 (alongside its multiples 22 and 33) are master numbers in numerology, especially in New Age.Sharp Damian Simple Numerology: A Simple Wisdom book (A Simple Wisdom Book series) Red Wheel 2001 7 English 978-1-57324-560-9
References
30em
External links
Grimes James Eleven http://www.numberphile.com/videos/11.html Numberphile Brady Haran 2016-01-03 https://web.archive.org/web/20171015073814/http://www.numberphile.com/videos/11.html 2017-10-15
zero
Category:Integers
Category:Prime numbers