%I
%S 2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,
%T 34,35,36,38,39,40,42,44,45,46,48,50,51,52,54,55,56,57,58,60,62,63,64,
%U 66,68,70,72,75,76,78,80,81,84,88,90,92,96,98,99,100,102,104,105,108,110
%N Cube of number of divisors is larger than the number.
%C Sequence is finite with 50967 elements.  _Charles R Greathouse IV_, Apr 27, 2011
%C The last odd term is a(15199) = 883575. The odd terms are in A056761.  _T. D. Noe_, May 14 2013
%H Charles R Greathouse IV, <a href="/A056757/b056757.txt">Table of n, a(n) for n = 1..50967</a> (complete sequence)
%F d(n)^3 > n, where d=A000005.
%e n = 27935107200 = 128*27*25*7*11*13*17*19 has 3072 divisors, its cube 28991029248/n = 1.037799, so n is here.
%t t = {}; Do[If[n < DivisorSigma[0,n]^3, AppendTo[t, n]], {n, 10^3}]; t (* _T. D. Noe_, May 14 2013 *)
%t Select[Range[120],DivisorSigma[0,#]^3>#&] (* _Harvey P. Dale_, Apr 22 2019 *)
%o (PARI) is(n)=numdiv(n)^3>n \\ _Charles R Greathouse IV_, Sep 14 2015
%Y Cf. A034884, A035033A035035.
%Y Cf. A175495 (n < 2^d(n)), A225729A225738.
%K fini,full,nonn
%O 1,1
%A _Labos Elemer_, Aug 16 2000
