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Search: id:A055712
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| A055712 |
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Numbers n such that n | Sigma_8[n]. |
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+0 2
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| 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
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OFFSET
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1,2
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COMMENT
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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
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REFERENCES
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Florian Luca, Problem 11090: Sometimes n divides sigma_k(n), Amer. Math. Monthly 113 (2006), 372-373.
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MATHEMATICA
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Do[If[Mod[DivisorSigma[8, n], n]==0, Print[n]], {n, 1, 10000}]
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CROSSREFS
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Sequence in context: A101260 A141502 A039499 this_sequence A066292 A044254 A044635
Adjacent sequences: A055709 A055710 A055711 this_sequence A055713 A055714 A055715
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 09 2000
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