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

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.

Sequence in context: A080671 A286608 A225736 * A225734 A225733 A225732

Adjacent sequences: A225732 A225733 A225734 * A225736 A225737 A225738

Keyword

nonn,fini,full

Author

T. D. Noe, May 14 2013

Status

approved