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Numbers n such that n < d(n)^(26/10), where d(n) is the number of divisors of n.
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%I #5 May 14 2013 21:11:58

%S 2,3,4,5,6,8,9,10,12,14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,35,

%T 36,40,42,44,45,48,50,52,54,56,60,63,64,66,68,70,72,75,76,78,80,84,88,

%U 90,92,96,98,99,100,102,104,105,108,110,112,114,120,126,128

%N Numbers n such that n < d(n)^(26/10), where d(n) is the number of divisors of n.

%C Alternatively, we could write n^5 < d(n)^13. The last odd number is a(473) = 3465.

%H T. D. Noe, <a href="/A225734/b225734.txt">Table of n, a(n) for n = 1..2046</a> (complete sequence)

%t t = {}; Do[If[n < DivisorSigma[0, n]^(26/10), AppendTo[t, n]], {n, 10^7}]; t

%Y Cf. A034884 (n < d(n)^2), A175495 (n < 2^d(n)), A056757 (n < d(n)^3).

%Y Cf. A225729-A225738.

%K nonn,fini,full

%O 1,1

%A _T. D. Noe_, May 14 2013