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 A185166 Number of prime divisors of n (counted with multiplicity) of numbers k such that sum of proper divisors of k exceeds that of all smaller numbers. 1
 0, 1, 2, 2, 3, 2, 3, 3, 3, 4, 3, 4, 5, 4, 5, 4, 4, 6, 5, 5, 6, 5, 5, 6, 6, 7, 5, 6, 6, 5, 7, 6, 6, 6, 5, 7, 6, 8, 7, 7, 7, 6, 8, 6, 7, 6, 6, 8, 6, 8, 7, 9, 7, 8, 8, 8, 7, 7, 7, 9, 6, 7, 8, 7, 7, 7, 9, 9, 8, 8, 7, 9, 7, 8, 8, 8, 7, 9, 7, 9, 8, 8, 10, 8, 9, 9, 9 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Amiram Eldar, Table of n, a(n) for n = 1..1000 (calculated from the b-file at A034090) FORMULA a(n) = A001222(A034090(n)). EXAMPLE a(1) = 0 because 1 = A034090(1) has no prime factors. a(2) = 1 because 2 = A034090(2) has one prime factor, itself. a(3) = 2 because 4 = A034090(3) = 2^2 has two prime factors (with multiplicity). CROSSREFS Cf. A001222, A034090, A001065, A034091, A034287, A034288. Sequence in context: A338292 A359728 A217865 * A276555 A348190 A211100 Adjacent sequences: A185163 A185164 A185165 * A185167 A185168 A185169 KEYWORD nonn AUTHOR Jonathan Vos Post, Feb 19 2011 EXTENSIONS More terms from Amiram Eldar, Aug 30 2019 STATUS approved

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Last modified May 20 21:47 EDT 2024. Contains 372720 sequences. (Running on oeis4.)