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A055716 Numbers n such that n | sigma_12(n). 2
1, 34, 228, 444, 482, 492, 876, 1292, 1308, 2482, 2812, 3876, 5548, 5617, 8194, 8284, 8436, 9348, 10804, 10982, 11234, 13172, 16132, 16644, 17876, 18204, 22468, 24852, 28324, 31828, 32412, 32946, 35186, 35916, 39516, 44914, 46754, 47804, 48396 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

sigma_12(n) is the sum of the 12th powers of the divisors of n (A013960).

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..4000

MAPLE

with(numtheory);

A055716:=proc(q)

local a, i, n;

for n from 1 to q do

  a:=divisors(n); if frac(add(a[i]^12, i=1..nops(a))/n)=0 then print(n);

fi; od; end:

A055716(100000);  # Paolo P. Lava, Dec 07 2012

MATHEMATICA

Do[If[Mod[DivisorSigma[12, n], n]==0, Print[n]], {n, 1, 10^5}]

PROG

(Magma) [k:k in [1..50000]| IsIntegral(DivisorSigma(12, k)/ k)]; // Marius A. Burtea, Nov 06 2019

CROSSREFS

Cf. A013960.

Sequence in context: A050263 A020869 A355884 * A233300 A281052 A020872

Adjacent sequences:  A055713 A055714 A055715 * A055717 A055718 A055719

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jun 09 2000

STATUS

approved

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Last modified October 7 04:30 EDT 2022. Contains 357270 sequences. (Running on oeis4.)