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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
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, 50, 52, 54, 56, 60, 64, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 105, 108, 110, 112, 114, 120, 126, 132, 140, 144, 150, 156, 160, 162, 168, 176, 180, 192 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

T. D. Noe, Table of n, a(n) for n = 1..284 (complete sequence)

MATHEMATICA

t = {}; Do[If[n < DivisorSigma[0, n]^(23/10), AppendTo[t, n]], {n, 10^5}]; t

CROSSREFS

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

Cf. A225729-A225738.

Sequence in context: A067290 A106577 A068577 * A246352 A225730 A256389

Adjacent sequences:  A225728 A225729 A225730 * A225732 A225733 A225734

KEYWORD

nonn,fini,full

AUTHOR

T. D. Noe, May 14 2013

STATUS

approved

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Last modified April 6 18:39 EDT 2020. Contains 333286 sequences. (Running on oeis4.)