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Search: id:A070310
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A070310 Numbers n such that the sum of its aliquot parts and the number of its divisors are both perfect numbers. +0
1
28, 652, 10828 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

p = {6, 28, 496, 8128, 33550336}; Do[a = Divisors[n]; If[ Position[p, Plus @@ Drop[a, -1]] != {} && Position[p, Length[a]] != {}, Print[n]], {n, 1, 10^7}]

PROGRAM

(PARI) {for(n=1, 10^8, d=numdiv(n); if(d==sigma(d)-d, s=sigma(n)-n; if(s==sigma(s)-s, print1(n, ", "))))}

CROSSREFS

Cf. A000396, A001065, A000005.

Sequence in context: A004371 A089908 A038121 this_sequence A160141 A004293 A012808

Adjacent sequences: A070307 A070308 A070309 this_sequence A070311 A070312 A070313

KEYWORD

more,nonn,bref

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), May 10 2002

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), May 14 2002

No further terms below 10^8. Is the sequence complete? - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 17 2002

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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