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A055712 Numbers n such that n | Sigma_8[n]. +0
2
1, 84, 156, 204, 364, 476, 514, 1092, 1428, 2316, 2652, 2892, 6069, 6188, 6748, 12138, 12532, 16212, 16388, 18564, 20244, 24276, 30108, 37596, 39372, 49164, 63291, 78897, 87724, 99202, 114716, 126582, 147679, 157794, 167331 (list; graph; listen)
OFFSET

1,2

COMMENT

sigma_8(n) is the sum of the 8th powers of the divisors of n.

Problem 11090 proves that this sequence is infinite. - T. D. Noe (noe(AT)sspectra.com), Apr 18 2006

REFERENCES

Florian Luca, Problem 11090: Sometimes n divides sigma_k(n), Amer. Math. Monthly 113 (2006), 372-373.

MATHEMATICA

Do[If[Mod[DivisorSigma[8, n], n]==0, Print[n]], {n, 1, 10000}]

CROSSREFS

Sequence in context: A101260 A141502 A039499 this_sequence A066292 A044254 A044635

Adjacent sequences: A055709 A055710 A055711 this_sequence A055713 A055714 A055715

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 09 2000

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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