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A309510
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Divisors of 196883.
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0
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OFFSET
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1,2
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COMMENTS
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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.
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LINKS
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FORMULA
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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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MATHEMATICA
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Divisors[196883]
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy,fini,full
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AUTHOR
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STATUS
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approved
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