A174228 Divisors of 24!.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 60, 63, 64, 65, 66, 68, 69, 70, 72, 75, 76, 77, 78, 80, 81, 84, 85, 88, 90, 91, 92, 95

Offset: 1

Author

Reinhard Zumkeller, Mar 13 2010

Keywords

• fini
• nonn
• easy

Comments

24! = 2^22 * 3^10 * 5^4 * 7^3 * 11^2 * 13 * 17 * 19 * 23;

the sequence is finite with A027423(24) = 242880 terms:

a(242880) = A000142(24) = A000197(4) = A010050(12) = 620448401733239439360000 is the last term.

Differs from the infinite sequence A080683 first for 169, 289, 338, 361 etc. - R. J. Mathar, Mar 17 2010

Links

• R. Zumkeller, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to divisors of numbers
• Index entries for sequences related to factorial numbers.

Crossrefs

Cf. A018253, A155182.

Programs

Mathematica

Select[Divisors[24!],#<=100&] (* Harvey P. Dale, Nov 26 2023 *)

PARI

divisors(24!) \\ Charles R Greathouse IV, Sep 02 2015