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A056757 Cube of number of divisors is larger than the number. 9
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; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Sequence is finite with 50967 elements. [Charles R Greathouse IV, Apr 27, 2011]

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..50967 (complete sequence)

FORMULA

d(n)^3 > n, where d=A000005.

EXAMPLE

n=27935107200=128*27*25*7*11*13*17*19 has 3072 divisors, its cube 28991029248/n = 1.037799, so n is here.

CROSSREFS

Cf. A034884, A035033-A035035.

Sequence in context: A164713 A070331 A080672 * A079333 A063938 A002473

Adjacent sequences:  A056754 A056755 A056756 * A056758 A056759 A056760

KEYWORD

fini,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Aug 16 2000

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Last modified February 17 08:40 EST 2012. Contains 205998 sequences.