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A034897
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Hyperperfect numbers.
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8
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6, 21, 28, 301, 325, 496, 697, 1333, 1909, 2041, 2133, 3901, 8128, 10693, 16513, 19521, 24601, 26977, 51301, 96361, 130153, 159841, 163201, 176661, 214273, 250321, 275833, 296341, 306181, 389593, 486877, 495529, 542413, 808861
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| R. K. Guy, Unsolved Problems in Number Theory, Sect. B2.
J. Roberts, Lure of the Integers, see Integer 28, p. 177.
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LINKS
| J. S. McCranie, Table of n, a(n) for n = 1..2190
J. S. McCranie, A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Wikipedia, Hyperperfect number
Jud McCranie, List of hyperfect numbers.
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MATHEMATICA
| hpnQ[n_]:=Module[{c=DivisorSigma[1, n]-n-1}, c>0&&IntegerQ[(n-1)/c]]; Select[Range[2, 809000], hpnQ] (* From Harvey P. Dale, Jan 17 2012 *)
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CROSSREFS
| Cf. A034898, A007592, A019279.
Sequence in context: A046467 A132184 A143322 * A173622 A064440 A106634
Adjacent sequences: A034894 A034895 A034896 * A034898 A034899 A034900
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KEYWORD
| nonn,nice
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AUTHOR
| Judson S. McCranie (JudMcCranie(AT)ugaalum.uga.edu)
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