

A225732


Numbers n such that n < d(n)^(24/10), where d(n) is the number of divisors of n.


1



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
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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. A225729A225738.
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



