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 A336418 Numbers with a factorial number of divisors. 2
 1, 2, 3, 5, 7, 11, 12, 13, 17, 18, 19, 20, 23, 28, 29, 31, 32, 37, 41, 43, 44, 45, 47, 50, 52, 53, 59, 61, 63, 67, 68, 71, 73, 75, 76, 79, 83, 89, 92, 97, 98, 99, 101, 103, 107, 109, 113, 116, 117, 124, 127, 131, 137, 139, 147, 148, 149, 151, 153, 157, 163 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Positive integers n such that A000005(n) belongs to A000142. LINKS Table of n, a(n) for n=1..61. MATHEMATICA nn=5; Select[Range[nn!], MemberQ[Array[Factorial, nn], Length[Divisors[#]]]&] CROSSREFS A000005 counts divisors. A048656 counts squarefree divisors of n!. A325617 counts permutations of the multiset of prime factors of n!. A336414 counts divisors of n! with distinct prime exponents. Cf. A000142, A001221, A001222, A002982, A007489, A022559, A027423, A032741, A054991, A090630, A108731, A181796, A251753, A336416. Sequence in context: A316793 A119251 A182358 * A212166 A293511 A336615 Adjacent sequences: A336415 A336416 A336417 * A336419 A336420 A336421 KEYWORD nonn AUTHOR Gus Wiseman, Jul 27 2020 STATUS approved

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Last modified September 12 20:35 EDT 2024. Contains 375854 sequences. (Running on oeis4.)