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.

A356078 Highly composite numbers that are multiples of their number of divisors.

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%I A356078 #7 Aug 24 2022 09:58:13
%S A356078 1,2,12,24,36,60,180,240,360,720,1260,1680,5040,10080,15120,20160,
%T A356078 25200,55440,110880,221760,277200,665280,720720,1441440,2882880,
%U A356078 3603600,8648640,14414400,32432400,43243200,61261200,245044800,551350800,735134400,1102701600,2205403200
%N A356078 Highly composite numbers that are multiples of their number of divisors.
%C A356078 Conjecture: this sequence is finite. The prime factorization of the number of divisors of a large highly composite number usually has a high power of 2; this is not true of the number of divisors of a highly composite number itself.
%e A356078 180 (in A002182) has 18 divisors, and 180/18 equals 10; so, 180 is in this sequence.
%Y A356078 Intersection of A002182 and A033950.
%Y A356078 Cf. A002183.
%K A356078 nonn
%O A356078 1,2
%A A356078 _J. Lowell_, Jul 25 2022
%E A356078 More terms from _Amiram Eldar_, Jul 25 2022