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User: Jelle Herold

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A309510 Divisors of 196883.

1, 47, 59, 71, 2773, 3337, 4189, 196883

Offset: 1

Jelle Herold, Aug 05 2019

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.

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
Index entries for sequences related to groups

Cf. A199014 (divisors of 196884).

Mathematica
```
Divisors[196883]
```

divisors(196883) \\ Charles R Greathouse IV, Jul 12 2021

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).

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User: Jelle Herold

A309510 Divisors of 196883.

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