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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. 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 (list; graph; refs; listen; history; text; internal format)
 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 Select[Range[2, 120], Divisible[#, PrimeOmega[#]] &] (* Jean-François Alcover, Jun 08 2013 *) CROSSREFS Cf. A001222, A134334 (complement). Sequence in context: A032846 A023777 A329298 * 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 9 13:48 EST 2023. Contains 367691 sequences. (Running on oeis4.)