cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A327633 Noninfinitary perfect numbers: numbers k whose sum of noninfinitary divisors equals k.

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%I A327633 #5 Sep 20 2019 08:58:57
%S A327633 112,1344,32512,390144,483840,5930176,2952609792
%N A327633 Noninfinitary perfect numbers: numbers k whose sum of noninfinitary divisors equals k.
%C A327633 Numbers k such that sigma(k) - isigma(k) = A000203(k) - A049417(k) = k.
%C A327633 No more terms below 3 * 10^10.
%e A327633 112 is in the sequence since its noninfinitary divisors are {2, 4, 8, 14, 28, 56} whose sum is 112.
%t A327633 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[#] == # &]
%Y A327633 Cf. A000203, A007357, A049417, A064591, A077609, A282900, A282940.
%K A327633 nonn,more
%O A327633 1,1
%A A327633 _Amiram Eldar_, Sep 20 2019