A242310 - OEIS

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A242310

Largest 1 < k <= A000005(n) such that the sum of k distinct divisors of n is equal to k*m for some m, or 1 if no such k exists.

1, 1, 2, 2, 2, 4, 2, 2, 2, 2, 2, 5, 2, 2, 4, 3, 2, 5, 2, 6, 4, 4, 2, 7, 2, 2, 4, 5, 2, 8, 2, 4, 4, 3, 4, 8, 2, 4, 4, 7, 2, 8, 2, 6, 6, 4, 2, 11, 3, 4, 4, 5, 2, 8, 4, 8, 4, 2, 2, 12, 2, 4, 5, 6, 4, 8, 2, 6, 4, 8, 2, 11, 2, 2, 4, 4, 2, 8, 4, 2, 2, 11, 4, 4, 4

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OFFSET

1,3

COMMENTS

k is the number of divisors of arithmetic numbers A003601.

LINKS

Table of n, a(n) for n=1..85.

EXAMPLE

a(12) = 5 because 1 + 2 + 4 + 6 + 12 = 25 = 5*5 for m = 5.

CROSSREFS

Cf. A000203, A003601, A049642.

Sequence in context: A374324 A111735 A211454 * A102298 A049298 A075016

Adjacent sequences: A242307 A242308 A242309 * A242311 A242312 A242313

KEYWORD

nonn

AUTHOR

Ilya Lopatin and Juri-Stepan Gerasimov, May 10 2014

STATUS

approved