A225732 Numbers n such that n < d(n)^(24/10), 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, 36, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 63, 64, 66, 68, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 105, 108, 110, 112, 114, 120, 126, 128, 130, 132, 135, 136, 138, 140

Offset

1,1

Comments

Alternatively, we could write n^5 < d(n)^12. The last odd number is a(95) = 315.

Links

T. D. Noe, Table of n, a(n) for n = 1..528 (complete sequence)

Mathematica

t = {}; Do[If[n < DivisorSigma[0, n]^(24/10), AppendTo[t, n]], {n, 10^6}]; t

Crossrefs

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

Cf. A225729-A225738.

Sequence in context: A225735 A225734 A225733 * A295585 A324578 A193988

Adjacent sequences: A225729 A225730 A225731 * A225733 A225734 A225735

Keyword

nonn,fini,full

Author

T. D. Noe, May 14 2013

Status

approved