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Search: id:A055709
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| A055709 |
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Numbers n such that n | Sigma_5[n]. |
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+0
6
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| 1, 6, 22, 28, 66, 120, 198, 264, 308, 366, 440, 604, 672, 924, 984, 1320, 1464, 1694, 1717, 2013, 2296, 2464, 2574, 2970, 3434, 3608, 3960, 4026, 4228, 4598, 4920, 5082, 5151, 5348, 6200, 6600, 6644, 6776, 6868, 6888, 7320, 7392, 8052, 8128, 9504
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OFFSET
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1,2
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COMMENT
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sigma_5(n) is the sum of the 5th 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[5, n], n]==0, Print[n]], {n, 1, 15000}]
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CROSSREFS
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Sequence in context: A095411 A044448 A111036 this_sequence A037204 A035285 A069824
Adjacent sequences: A055706 A055707 A055708 this_sequence A055710 A055711 A055712
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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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