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 A327633 Noninfinitary perfect numbers: numbers k whose sum of noninfinitary divisors equals k. 0
 112, 1344, 32512, 390144, 483840, 5930176, 2952609792 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers k such that sigma(k) - isigma(k) = A000203(k) - A049417(k) = k. No more terms below 3 * 10^10. LINKS EXAMPLE 112 is in the sequence since its noninfinitary divisors are {2, 4, 8, 14, 28, 56} whose sum is 112. MATHEMATICA f[p_, e_] := p^(2^(-1 + Position[Reverse @ IntegerDigits[e, 2], _?(# == 1 &)])); nisigma[1] = 0; nisigma[n_] := DivisorSigma[1, n] - Times @@ (Flatten @ (f @@@ FactorInteger[n]) + 1); Select[Range[500000], nisigma[#] == # &] CROSSREFS Cf. A000203, A007357, A049417, A064591, A077609, A282900, A282940. Sequence in context: A232850 A233115 A188152 * A210300 A210293 A203915 Adjacent sequences:  A327630 A327631 A327632 * A327634 A327635 A327636 KEYWORD nonn,more AUTHOR Amiram Eldar, Sep 20 2019 STATUS approved

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Last modified May 14 04:40 EDT 2021. Contains 343872 sequences. (Running on oeis4.)