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A225730 Numbers n such that n < d(n)^(22/10), where d(n) is the number of divisors of n. 2
2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 36, 40, 42, 44, 45, 48, 50, 54, 56, 60, 64, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 108, 112, 120, 126, 132, 140, 144, 150, 156, 160, 168, 180, 192, 198, 200, 204, 210, 216, 220, 224, 228, 234 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Alternatively, we could write n^5 < d(n)^11. The last odd number is a(23) = 45.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..155 (complete sequence)

MATHEMATICA

t = {}; Do[If[n < DivisorSigma[0, n]^(22/10), 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: A068577 A225731 A246352 * A256389 A225729 A035033

Adjacent sequences:  A225727 A225728 A225729 * A225731 A225732 A225733

KEYWORD

nonn,fini,full

AUTHOR

T. D. Noe, May 14 2013

STATUS

approved

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Last modified April 7 10:56 EDT 2020. Contains 333301 sequences. (Running on oeis4.)