

A074946


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


19



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



FORMULA

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


MATHEMATICA



CROSSREFS



KEYWORD

easy,nonn


AUTHOR



EXTENSIONS



STATUS

approved



