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Search: id:A056757
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| A056757 |
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Cube of number of divisors is larger than the number. |
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+0
9
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| 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 81, 84, 88, 90, 92, 96, 98, 99, 100, 102, 104, 105, 108, 110
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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d[n]^3 > n, where d[]=A000005()
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EXAMPLE
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n=27935107200=128*27*25*7*11*13*17*19 has 3072 divisors, its cube 28991029248/n = 1.037799, so n is here. Although this sequence is finite, its end is not known, estimations are weak. Big cases beyond 10^10: 10291881600,11502691200,12221609400,12681068400, 13967553600,16908091200,18897278400,27935107200.
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CROSSREFS
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Cf. A034884, A035033-A035035.
Sequence in context: A164713 A070331 A080672 this_sequence A079333 A063938 A002473
Adjacent sequences: A056754 A056755 A056756 this_sequence A056758 A056759 A056760
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KEYWORD
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fini,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Aug 16 2000
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