cp's OEIS Frontend

A380924 Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 3.

%I A380924 #3 Mar 03 2025 10:09:30
%S A380924 32,729,756,784,16875,17500,18522,19208,22950,23800,31212,32368,37000,
%T A380924 50320,243760,390625,428750,453789,470596,531250,562275,570375,583100,
%U A380924 591500,722500,764694,775710,793016,804440,874125,906500,982600,1188810,1232840,1250600
%N A380924 Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 3.
%e A380924 562275 = 3^3*5^2*7^2*17 = 562275*3/(3+3) + 562275*2/(5+3) + 562275*2/(7+3) + 562275/(17+3)
%p A380924 with(numtheory): P:=proc(q, h) local k, n, v; v:=[];
%p A380924 for n from 1 by 2 to q do if n=add(n*k[2]/(k[1]+h), k=ifactors(n)[2]) then v:=[op(v), n]; fi;
%p A380924 od; op(v); end: P(1250600, 3);
%Y A380924 Cf. A380888, A380889, A380900, A380901, A380923, A380925 - A380928.
%K A380924 nonn,easy
%O A380924 1,1
%A A380924 _Paolo P. Lava_, Mar 03 2025