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A055715 Numbers n such that n | sigma_11(n). 1
1, 6, 28, 120, 402, 496, 644, 672, 920, 1366, 1608, 1932, 2680, 2760, 3417, 3966, 4098, 4623, 4975, 5152, 6210, 6834, 8040, 8128, 8280, 9246, 9528, 9950, 12294, 13668, 15008, 15456, 15864, 16392, 18492, 19900, 20244, 24276, 30108, 37596 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

sigma_11(n) is the sum of the 11th powers of the divisors of n (A013959).

LINKS

Table of n, a(n) for n=1..40.

MAPLE

with(numtheory);

A055715:=proc(q)

local a, i, n;

for n from 1 to q do

  a:=divisors(n); if frac(add(a[i]^11, i=1..nops(a))/n)=0 then print(n);

fi; od; end:

A055715(100000);  # Paolo P. Lava, Dec 07 2012

MATHEMATICA

Do[If[Mod[DivisorSigma[11, n], n]==0, Print[n]], {n, 1, 40000}]

CROSSREFS

Sequence in context: A183013 A055717 A090777 * A026031 A002694 A007691

Adjacent sequences:  A055712 A055713 A055714 * A055716 A055717 A055718

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jun 09 2000

STATUS

approved

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Last modified March 24 11:49 EDT 2019. Contains 321448 sequences. (Running on oeis4.)