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A074946 Positive integers n for which the sum of the prime-factorization 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[#]] &] (* Jean-Fran├žois 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

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Last modified December 11 19:09 EST 2017. Contains 295919 sequences.