176 (number)

176 1, 2, 4, 8, 11, 16, 22, 44, 88, 176 176 (one hundred [and] seventy-six) is the natural number following 175 and preceding 177. In mathematics 176 is an even number and an abundant number. It is an odious number, a self number, a semiperfect number, and a practical number.Sloane's A005153 : Practical numbers https://oeis.org/A005153 The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-28 176 is a cake number,Sloane's A000125 : Cake numbers https://oeis.org/A000125 The On-Line Encyclopedia of Integer Sequences OEIS Foundation 2016-05-28 a happy number, a pentagonal number, and an octagonal number. 15 can be partitioned in 176 ways. The Higman–Sims group can be constructed as a doubly transitive permutation group acting on a geometry containing 176 points,Wilson Robert A. http://link.springer.com/10.1007/978-1-84800-988-2 The Finite Simple Groups 2009 Springer London 978-1-84800-987-5 Graduate Texts in Mathematics 251 London 212 10.1007/978-1-84800-988-2 Robert Arnott Wilson and it is also the symmetry group of the largest possible set of equiangular lines in 22 dimensions, which contains 176 lines.Lemmens P.W.H. Equiangular Lines 1991 https://linkinghub.elsevier.com/retrieve/pii/B9780121894207500177 Geometry and Combinatorics 127–145 Elsevier en 10.1016/b978-0-12-189420-7.50017-7 978-0-12-189420-7 2022-07-01 Seidel J.J. Green J.A. subscription References External links Number Facts and Trivia: 176 The Number 176 The Positive Integer 176 VirtueScience: 176 https://web.archive.org/web/20210118013803/https://www.virtuescience.com/176.html 2021-01-18 Number Gossip: 176 1 Category:Integers