OFFSET
1,2
COMMENTS
196883 = 47*59*71 is the degree of the smallest faithful complex representation of the Monster group M.
This degree, as a number, has 8 divisors.
Note that 2337 = 47*59, 3337 = 47*71 and 4189 = 59*71.
It is related to the sequence A199014 (the divisors of 196884) through a phenomenon called "monstrous moonshine", or 196884 = 196883 + 1.
More specifically (adapted from Wikipedia), the Griess algebra is a commutative non-associative algebra on a real vector space of dimension 196884 with M as its automorphism group. It is named after mathematician R. L. Griess, who constructed it in 1980 and used it in 1982 to construct M. The Monster fixes (vectorwise) a 1-space in this algebra and acts absolutely irreducibly on the 196883-dimensional orthogonal complement of this 1-space.
LINKS
J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339.
Robert L. Griess, The Friendly Giant, Invent. math. 69, 1-102 (1982).
Wikipedia, Griess algebra
FORMULA
a(2)*a(3) = a(5),
a(2)*a(4) = a(6),
a(3)*a(4) = a(7),
a(2)*a(3)*a(4) = a(8).
MATHEMATICA
Divisors[196883]
PROG
(PARI) divisors(196883) \\ Charles R Greathouse IV, Jul 12 2021
CROSSREFS
KEYWORD
nonn,easy,fini,full
AUTHOR
Jelle Herold, Aug 05 2019
STATUS
approved