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.

A354073 Multiply-perfect numbers that are the sum of the divisors of some number.

This page as a plain text file.
%I A354073 #17 May 12 2024 00:45:23
%S A354073 1,6,28,120,496,672,30240,32760,523776,2178540,23569920,33550336,
%T A354073 45532800,142990848,459818240,1379454720,1476304896,8589869056,
%U A354073 14182439040,31998395520,43861478400,51001180160,66433720320,137438691328,153003540480,403031236608,518666803200
%N A354073 Multiply-perfect numbers that are the sum of the divisors of some number.
%C A354073 Conjecture: 8128 is only multiply-perfect number that is not in this sequence.
%C A354073 The distinct values of A000203(A066961(n)).
%H A354073 Amiram Eldar, <a href="/A354073/b354073.txt">Table of n, a(n) for n = 1..50</a>
%e A354073 The multiply-perfect number 28 is in the sequence because 28 = sigma(12).
%o A354073 (Magma) Set(Sort([&+Divisors(m): m in [1..10^7] | IsIntegral(&+Divisors(&+Divisors(m)) / &+Divisors(m))]))
%Y A354073 Intersection of A007691 and A002191.
%Y A354073 Cf. A000203, A066961, A354072, A354074.
%K A354073 nonn
%O A354073 1,2
%A A354073 _Jaroslav Krizek_, May 16 2022
%E A354073 a(18)-a(27) from _Amiram Eldar_, May 12 2024