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Search: id:A089748
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A089748 Numbers n such that n divides (sum of proper divisors of n + product of proper divisors of n). +0
1
2, 6, 28, 120, 496, 672, 8128, 30240, 32760, 523776 (list; graph; listen)
OFFSET

1,1

COMMENT

All perfect numbers belong to this sequence.

Every term of A007691 is in this sequence. - T. D. Noe (noe(AT)sspectra.com), Sep 29 2005

MATHEMATICA

l = {}; Do[d = Drop[Divisors[n], -1]; p = Apply[Plus, d]; t = Apply[Times, d]; m = Mod[p + t, n]; If[m == 0, l = Append[l, n]], {n, 2, 10^6}]; l

CROSSREFS

Sequence in context: A074925 A141136 A115156 this_sequence A047125 A065577 A152393

Adjacent sequences: A089745 A089746 A089747 this_sequence A089749 A089750 A089751

KEYWORD

nonn

AUTHOR

Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 08 2004

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


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