168 (number)

168 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 168 (one hundred [and] sixty-eight) is the natural number following 167 and preceding 169. Mathematics 168 is a Dedekind number,A000372 Dedekind numbers: number of monotone Boolean functions of n variables, number of antichains of subsets of an n-set, number of elements in a free distributive lattice on n generators, number of Sperner families. 2024-04-01 and an idoneal numbers, and a Cunningham number.https://oeis.org/A000926 Sloane's A000926 : Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers) The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-28 Abstract algebra 168 is the order of the second smallest nonabelian simple group From Hurwitz's automorphisms theorem, 168 is the maximum possible number of automorphisms of a genus 3 Riemann surface, this maximum being achieved by the Klein quartic, whose symmetry group is .https://math.ucr.edu/home/baez/week214.html week214 math.ucr.edu 9 April 2023 In other fields Numerology Some Chinese consider 168 a lucky number, because 一六八 ("168") Mandarin yīliùbā is roughly homophonous with the phrase "一路發" Mandarin yīlùfā which means "fortune all the way", or, as the United States Mint claims, "Prosperity Forever".https://catalog.usmint.gov/1-prosperity-forever-inch-168-note-B1510.html?cgid=currency $1 Prosperity Forever 168 Note - US Mint 9 April 2023 References External links Number Facts and Trivia: 168 The Number 168 The Positive Integer 168 Prime curiosities: 168 1 Category:Integers