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A174601 Numbers of divisors of orders of sporadic simple groups. 5
60, 112, 128, 192, 192, 384, 480, 384, 704, 896, 1056, 1920, 2688, 3200, 2816, 4256, 4320, 5880, 16128, 16896, 25536, 26400, 45056, 143616, 1580544, 424488960 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = A000005(A001228(n)).

LINKS

Table of n, a(n) for n=1..26.

Eric Weisstein's World of Mathematics, Sporadic Group

EXAMPLE

a(1) = A000005(7920) = A000005(2^4 * 3^2 * 5^1 * 11^1) = (4+1)*(2+1)*(1+1)*(1+1) = 60;

a(26) = PROD((A051161(k)+1): k>0) = (46+1)*(20+1)*(9+1)*(6+1)*(2+1)*(3+1)*(1+1)*(1+1)*(1+1)*(1+1)*(1+1)*(0+1)*(1+1)*(0+1)*(1+1)*(0+1)*(1+1)*(0+1)*(0+1)*(1+1)*(0+1)*(0+1)*... = 47*21*10*7*3*4*2*2*2*2*2*1*2*1*2*1*2*1*1*2*1*1*... = 424488960.

CROSSREFS

Cf. A174670.

Sequence in context: A008887 A217738 A182683 * A306908 A252961 A252962

Adjacent sequences:  A174598 A174599 A174600 * A174602 A174603 A174604

KEYWORD

fini,full,nonn

AUTHOR

Reinhard Zumkeller, Apr 02 2010

STATUS

approved

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Last modified November 13 04:20 EST 2019. Contains 329085 sequences. (Running on oeis4.)