A225735 - OEIS

A225735

Numbers n such that n < d(n)^(27/10), where d(n) is the number of divisors of n.

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, 36, 38, 39, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 84, 88, 90, 92, 96, 98, 99, 100, 102, 104, 105, 108, 110, 112, 114, 116

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OFFSET

1,1

COMMENTS

Alternatively, we could write n^10 < d(n)^27. The last odd term is a(995) = 10395.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..4282 (complete sequence)

MATHEMATICA

t = {}; Do[If[n < DivisorSigma[0, n]^(27/10), AppendTo[t, n]], {n, 10^7}]; t

CROSSREFS

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

Cf. A225729-A225738.