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A174228 Divisors of 24!. 4

%I

%S 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,

%T 27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,54,55,56,

%U 57,60,63,64,65,66,68,69,70,72,75,76,77,78,80,81,84,85,88,90,91,92,95

%N Divisors of 24!.

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

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

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

%C Differs from the infinite sequence A080683 first for 169, 289, 338, 361 etc. - _R. J. Mathar_, Mar 17 2010

%H R. Zumkeller, <a href="/A174228/b174228.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>

%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.

%o (PARI) divisors(24!) \\ _Charles R Greathouse IV_, Sep 02 2015

%Y Cf. A018253, A155182.

%K fini,nonn,easy

%O 1,2

%A _Reinhard Zumkeller_, Mar 13 2010

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Last modified April 13 20:46 EDT 2021. Contains 342941 sequences. (Running on oeis4.)