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A064592 Nonunitary doubly perfect numbers: the sum of the nonunitary divisors of n is 2n; i.e. sigma(n) - usigma(n) = 2n. +0
6
2520, 31320, 1163160, 2208384, 3053232, 6535296, 13472928, 123165600, 365959296, 4401782352, 5517818880, 612014161920 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

nusigma[ n_ ] := DivisorSigma[ 1, n ]-Times@@(1+Power@@#&/@FactorInteger[ n ]); For[ n=1, True, n++, If[ nusigma[ n ]==2n, Print[ n ] ] ]

CROSSREFS

Cf. A048146, A064591, A064593, A064594, A064595, A064596.

Adjacent sequences: A064589 A064590 A064591 this_sequence A064593 A064594 A064595

Sequence in context: A068547 A094515 A066531 this_sequence A109480 A066599 A107531

KEYWORD

nonn,hard

AUTHOR

Dean Hickerson (dean(AT)math.ucdavis.edu), Sep 25, 2001

EXTENSIONS

There are no others up to 7.9*10^12, but here's a larger one: 2846972800010800140288

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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