A074946 - OEIS

A074946

Positive integers n for which the sum of the prime-factorization exponents of n (bigomega(n) = A001222(n)) divides n.

2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 26, 27, 29, 30, 31, 34, 36, 37, 38, 40, 41, 42, 43, 45, 46, 47, 53, 56, 58, 59, 60, 61, 62, 63, 66, 67, 71, 73, 74, 75, 78, 79, 80, 82, 83, 84, 86, 88, 89, 94, 96, 97, 99, 100, 101, 102, 103, 104, 105, 106

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OFFSET

1,1

COMMENTS

If n is prime, trivially n is in the sequence.

The asymptotic density of this sequence is 0 (Erdős and Pomerance, 1990). - Amiram Eldar, Jul 10 2020

LINKS

Keenan J. A. Down, Table of n, a(n) for n = 1..10000

Paul Erdős and Carl Pomerance, On a theorem of Besicovitch: values of arithmetic functions that divide their arguments, Indian J. Math., Vol. 32 (1990), pp. 279-287.

FORMULA

a(n) seems to be asymptotic to c*n*log(log(n)) with 1.128 < c < 1.13.

MATHEMATICA