

A074946


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


15



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

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


LINKS

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


FORMULA

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


MATHEMATICA

Select[Range[2, 120], Divisible[#, PrimeOmega[#]] &] (* JeanFrançois Alcover, Jun 08 2013 *)


CROSSREFS

Cf. A001222, A134334 (complement).
Sequence in context: A032879 A032846 A023777 * A279455 A050687 A098908
Adjacent sequences: A074943 A074944 A074945 * A074947 A074948 A074949


KEYWORD

easy,nonn


AUTHOR

Benoit Cloitre, Oct 05 2002


EXTENSIONS

Revised definition from Leroy Quet, Sep 11 2008
More terms from Keenan J. A. Down, Dec 08 2016
Smaller boundary for 'c' from Keenan J. A. Down, Dec 08 2016


STATUS

approved



