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.

A225880 Numbers that can be expressed as the product of largest odd proper divisor and the sum of odd proper divisors.

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%I A225880 #7 May 20 2013 13:23:32
%S A225880 12,56,672,992,11904,16256,55552,195072,666624,910336,10924032,
%T A225880 16125952,67100672,193511424,805208064,903053312,3757637632,
%U A225880 10836639744,17179738112,45091651584,66563866624,206156857344,274877382656,798766399488,962065334272,1090788524032
%N A225880 Numbers that can be expressed as the product of largest odd proper divisor and the sum of odd proper divisors.
%C A225880 The numbers a(n) can be expressed as 2^(m+n+p+...)*(2^m-1)*(2^n-1)*(2^p-1)... with 2^m-1, 2^n-1, 2^p-1 distinct Mersenne primes (A000668(n)). Example: 55552 = 2^6*7*31=2^6*(2^3-1)*(2^5-1).
%C A225880 This sequence is supersequence of A139256.
%C A225880 The number a(n) is in A139256 or a(n) is product of twice even perfect numbers A139256(n). Example: 1090788524032 = 16256*67100672 = (2*8128)*(2*33550336) = A139256(4) * A139256(5).
%e A225880 11904 = 93*(93+31+3+1).
%o A225880 (PARI)
%o A225880 gdivodd(n)={m=n;while(m/2==m\2,m=m/2);return(m)}
%o A225880 {for (n=2,2*10^8,m=gdivodd(n)*sumdiv(n, d, d*(d%2));if(m==n,print(n)))}
%Y A225880 Cf. A225882, A225881.
%K A225880 nonn
%O A225880 1,1
%A A225880 _Antonio Roldán_, May 19 2013