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

1,2

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.

Mathematica

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

Prog

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

Crossrefs

Cf. A018253, A155182.

Sequence in context: A356944 A087143 A080683 * A197640 A246099 A280865

Adjacent sequences: A174225 A174226 A174227 * A174229 A174230 A174231

Keyword

fini,nonn,easy

Author

Reinhard Zumkeller, Mar 13 2010

Status

approved