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.

A306313 Numbers such that the product of their digits is equal to 10 times the sum of their prime factors, without multiplicity.

This page as a plain text file.
%I A306313 #11 Feb 20 2019 15:09:37
%S A306313 1584,5616,7452,8256,15698,16956,18525,25662,28512,34935,35152,35275,
%T A306313 35581,35748,36584,46225,47265,47594,51842,52374,54479,55223,55348,
%U A306313 58432,65712,73125,93875,118465,151632,153615,154462,159712,161785,172577,176225,178754,182596
%N A306313 Numbers such that the product of their digits is equal to 10 times the sum of their prime factors, without multiplicity.
%C A306313 Similar to Rhonda numbers (A099542) where the multiplicity of the prime factors is taken into account.
%e A306313 1584 = 2^4*3^2*11 and 1*5*8*4 = 160 = 10*(2+3+11).
%p A306313 with(numtheory): select(n->convert(convert(n,base,10),`*`)=10*add(k,k=factorset(n)),[$1..120000]);
%t A306313 Select[Range[2*10^5], Times @@ IntegerDigits[#] == 10 Total[FactorInteger[#][[All, 1]] ] &] (* _Michael De Vlieger_, Feb 15 2019 *)
%Y A306313 Cf. A099542.
%K A306313 nonn,base,easy
%O A306313 1,1
%A A306313 _Paolo P. Lava_, Feb 06 2019