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Search: id:A048740
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| A048740 |
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Product of divisors of n-th composite number. |
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+0
2
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| 8, 36, 64, 27, 100, 1728, 196, 225, 1024, 5832, 8000, 441, 484, 331776, 125, 676, 729, 21952, 810000, 32768, 1089, 1156, 1225, 10077696, 1444, 1521, 2560000, 3111696, 85184, 91125, 2116, 254803968, 343, 125000, 2601, 140608, 8503056, 3025, 9834496
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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Albert H. Beiler, Recreations in the Theory of Numbers, 2nd ed., pages 10, 23. New York: Dover, 1966. ISBN 0-486-21096-0.
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EXAMPLE
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The third composite number is 8. The product of all divisors of 8 is 8*4*2*1 = 64.
Divisors(48) = {1,2,3,4,6,8,12,16,24,48} => product {1,2,3,4,6,8,12,16,24,48} = 254803968.
Divisors(49) = {1,7,49} => product {1,7,49} = 343.
Divisors(50) = {1,2,5,10,25,50} => product {1,2,5,10,25,50} = 125000.
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CROSSREFS
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Cf. A007955, A048741.
Sequence in context: A089698 A133887 A057345 this_sequence A139608 A009923 A035006
Adjacent sequences: A048737 A048738 A048739 this_sequence A048741 A048742 A048743
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net)
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EXTENSIONS
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Corrected by Neven Juric (neven.juric(AT)apis-it.hr), May 25 2006
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