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A175746 Numbers with 36 divisors. 4

%I #20 May 04 2018 08:51:14

%S 1260,1440,1800,1980,2016,2100,2340,2400,2700,2772,2940,3060,3150,

%T 3168,3276,3300,3420,3528,3744,3840,3900,4140,4284,4410,4500,4704,

%U 4788,4860,4896,4950,5100,5148,5220,5292,5376,5472,5580,5600,5700,5796,5850,6468,6624

%N Numbers with 36 divisors.

%C Numbers of the forms p^35, p^17*q^1, p^11*q^2, p^8*q^3, p^5*q^5, p^8*q^1*r^1, p^5*q^2*r^1, p^3*q^2*r^2 and p^2*q^2*r^1*s^1, where p, q, r, and s are distinct primes.

%H T. D. Noe, <a href="/A175746/b175746.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))=36.

%t Select[Range[10000],DivisorSigma[0,#]==36&] (* _Vladimir Joseph Stephan Orlovsky_, May 06 2011 *)

%o (PARI) is(n)=numdiv(n)==36 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A175744, A175745.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Aug 27 2010

%E Extended by _T. D. Noe_, May 08 2011

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)