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.

A175754 Numbers with 48 divisors.

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%I A175754 #17 May 04 2018 08:52:21
%S A175754 2520,3360,3780,3960,4200,4320,4620,4680,5280,5400,5460,5544,5760,
%T A175754 5880,5940,6048,6120,6240,6552,6600,6840,6930,7020,7140,7392,7800,
%U A175754 7980,8064,8160,8190,8280,8316,8568,8580,8736,9000,9120,9180,9450,9504,9576,9600
%N A175754 Numbers with 48 divisors.
%C A175754 Numbers of the forms p^47, p^23*q^1, p^15*q^2, p^11*q^3, p^7*q^5, p^3*q^3*r^2, p^7*q^2*r^1, p^11*q^1*r^1, p^5*q^3*r^1, p^5*q^1*r^1*s^1, p^3*q^2*r^1*s^1 and p^2*q^1*r^1*s^1*t^1, where p, q, r, s and t are distinct primes.
%H A175754 T. D. Noe, <a href="/A175754/b175754.txt">Table of n, a(n) for n = 1..1000</a>
%H A175754 OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>
%F A175754 A000005(a(n))=48.
%t A175754 Select[Range[20000],DivisorSigma[0,#]==48&] (* _Vladimir Joseph Stephan Orlovsky_, May 06 2011 *)
%o A175754 (PARI) is(n)=numdiv(n)==48 \\ _Charles R Greathouse IV_, Jun 19 2016
%Y A175754 Cf. A175752, A175753, A139575.
%K A175754 nonn
%O A175754 1,1
%A A175754 _Jaroslav Krizek_, Aug 27 2010