

A225734


Numbers n such that n < d(n)^(26/10), 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, 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
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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. A225729A225738.
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



