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A281782 Numbers n such that sum of prime power divisors of n > sum of prime power divisors of m for all m < n. 2
2, 3, 4, 7, 8, 16, 27, 32, 64, 121, 125, 128, 243, 256, 512, 729, 1024, 2048, 4096, 6561, 8192, 15625, 16384, 32761, 32768, 59049, 65536, 117649, 130321, 131072, 177147, 262144, 524287, 524288, 1048576, 1594323, 1953125, 2097152, 4194304, 8388608 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers n such that A023889(n) > A023889(m) for all m < n.

Numbers n such that Sum_{p^k|n, p prime, k>=1} p^k > Sum_{p^k|m, p prime, k>=1} p^k for all m < n.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..65

Index entries for sequences related to sums of divisors

MATHEMATICA

mx = 0; t = {}; Do[u = DivisorSum[n, # &, PrimePowerQ[#] &]; If[u > mx, mx = u; AppendTo[t, n]], {n, 8500000}]; t

CROSSREFS

Cf. A002093, A002182, A023889, A034090, A174572, A246655, A280013.

Sequence in context: A007497 A126882 A239973 * A006549 A134459 A225211

Adjacent sequences:  A281779 A281780 A281781 * A281783 A281784 A281785

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 14 2017

STATUS

approved

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Last modified February 28 04:32 EST 2020. Contains 332321 sequences. (Running on oeis4.)