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A225736 Numbers n such that n < d(n)^(28/10), where d(n) is the number of divisors of n. 1

%I #5 May 14 2013 21:12:49

%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 36,38,39,40,42,44,45,46,48,50,52,54,56,60,63,64,66,68,70,72,75,76,78,

%U 80,81,84,88,90,92,96,98,99,100,102,104,105,108,110,112,114

%N Numbers n such that n < d(n)^(28/10), where d(n) is the number of divisors of n.

%C Alternatively, we could write n^5 < d(n)^14. The last odd term is a(2447) = 45045.

%H T. D. Noe, <a href="/A225736/b225736.txt">Table of n, a(n) for n = 1..9372</a> (complete sequence)

%t t = {}; Do[If[n < DivisorSigma[0, n]^(28/10), 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

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Last modified April 20 00:26 EDT 2024. Contains 371798 sequences. (Running on oeis4.)