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A225731 Numbers n such that n < d(n)^(23/10), where d(n) is the number of divisors of n. 1

%I #5 May 14 2013 21:10:43

%S 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24,28,30,32,36,40,42,44,45,48,

%T 50,52,54,56,60,64,66,70,72,78,80,84,88,90,96,100,102,104,105,108,110,

%U 112,114,120,126,132,140,144,150,156,160,162,168,176,180,192

%N Numbers n such that n < d(n)^(23/10), where d(n) is the number of divisors of n.

%C Alternatively, we could write n^10 < d(n)^23. The last odd number is a(44) = 105.

%H T. D. Noe, <a href="/A225731/b225731.txt">Table of n, a(n) for n = 1..284</a> (complete sequence)

%t t = {}; Do[If[n < DivisorSigma[0, n]^(23/10), AppendTo[t, n]], {n, 10^5}]; 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 16 12:05 EDT 2024. Contains 371711 sequences. (Running on oeis4.)