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.

A114888 Multiperfect numbers, sigma(n) = k*n, which are divisible by their sums of prime factors with and without repetition.

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%I A114888 #14 Feb 16 2025 08:33:00
%S A114888 1379454720,14182439040,680489641226538823680000,
%T A114888 15229814702070563916152832000,34111227434420791224041472000,
%U A114888 1423615645454579571642097845619575340668304766095889698652160000000
%N A114888 Multiperfect numbers, sigma(n) = k*n, which are divisible by their sums of prime factors with and without repetition.
%C A114888 Conjecture: the sequence is finite.
%H A114888 Achim Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/mpn.html">The Multiply Perfect Numbers Page</a> (See here for the latest information about the search)
%H A114888 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MultiperfectNumber.html">Multiperfect numbers</a>
%e A114888 a(1)= 1379454720 = 2^8*3*5*7*19*37*73;
%e A114888 sopfr(1379454720), with repetition = 160 = 2^5*5;
%e A114888 sopfr(1379454720), without repetition = 146 = 2*73.
%Y A114888 Cf. A091443, A114887.
%K A114888 fini,nonn
%O A114888 1,1
%A A114888 _Sven Simon_, Feb 19 2006