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Search: id:A056767
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| A056767 |
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Largest number of binary size n (i.e. between (n-1)-th and n-th powers of 2) with the following property: cube of its number of divisors is larger than the number itself. |
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+0
7
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| 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2046, 4095, 8190, 16380, 32760, 65520, 131040, 262080, 524160, 1048320, 2097144, 4193280, 8386560, 16773900, 33547800, 67095600, 134191200, 268382400, 536215680, 1073709000, 2144142000
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OFFSET
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1,1
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FORMULA
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Largest terms of A056757 between 2^(n-1) and 2^n.
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EXAMPLE
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These maximal terms are usually "near" to 2^n, for n=1-10 are equal to 2^n. At n=21, a(21)=2097144, 1048576<a(21)<2097144=8*27*7*19*73 has 128 divisors, of which the cube is ddd=2097152. So this maximum is near but still below d^3.
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CROSSREFS
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Cf. A000005, A029837, A035033-A035035, A034884, A056757-A056767, A056781.
Sequence in context: A145116 A122265 A113010 this_sequence A008863 A145117 A133025
Adjacent sequences: A056764 A056765 A056766 this_sequence A056768 A056769 A056770
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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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