A225734 Numbers n such that n < d(n)^(26/10), 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, 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, 120, 126, 128

Offset

1,1

Comments

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

Links

T. D. Noe, Table of n, a(n) for n = 1..2046 (complete sequence)

Mathematica

t = {}; Do[If[n < DivisorSigma[0, n]^(26/10), 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: A286608 A225736 A225735 * A225733 A225732 A295585

Adjacent sequences: A225731 A225732 A225733 * A225735 A225736 A225737

Keyword

nonn,fini,full

Author

T. D. Noe, May 14 2013

Status

approved