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A175742 Numbers with 32 divisors. 5

%I #23 May 04 2018 08:50:44

%S 840,1080,1320,1512,1560,1848,1890,1920,2040,2184,2280,2310,2376,2688,

%T 2730,2760,2808,2856,2970,3000,3080,3192,3432,3456,3480,3510,3570,

%U 3640,3672,3720,3864,3990,4104,4158,4224,4290,4440,4480,4488,4590,4760,4830,4872

%N Numbers with 32 divisors.

%C Numbers of the form p^31, p^15*q^1, p^7*q^3, p^7*q^1*r^1, p^3*q^3*r^1, p^3*q^1*r^1*s^1 and p^1*q^1*r^1*s^1*t^1, where p, q, r, s and t are distinct primes.

%H T. D. Noe, <a href="/A175742/b175742.txt">Table of n, a(n) for n = 1..1000</a>

%H OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>

%F A000005(a(n))=32.

%t Select[Range[10000],DivisorSigma[0,#]==32&] (* _Vladimir Joseph Stephan Orlovsky_, May 06 2011 *)

%o (PARI) is(n)=numdiv(n)==32 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A137491, A137492, A137493, A139571.

%Y Cf. A046303 (a subsequence). - _Michel Marcus_, Apr 06 2017

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Aug 27 2010

%E Extended by _T. D. Noe_, May 09 2011

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Last modified April 24 19:39 EDT 2024. Contains 371963 sequences. (Running on oeis4.)