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A133025 Divisors of 33550336, the 5th perfect number. +0
6
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8191, 16382, 32764, 65528, 131056, 262112, 524224, 1048448, 2096896, 4193792, 8387584, 16775168, 33550336 (list; graph; listen)
OFFSET

1,2

COMMENT

8191 is the 5th Mersenne prime: A000668.

The number of divisors of the 5th perfect number is 2*A000043(5)=A061645(5)=26.

For the structure of this sequence and its binary expansion, see A135655.

LINKS

O. E. Pol, Determinacion geometrica de los numeros primos y perfectos.

FORMULA

For n=1..13 : a(n) = 2^(n-1). For n=14..26: a(n) = 2^(n-1) - 2^(n-14) = A000668(5)*2^(n-14).

CROSSREFS

Cf. A018254, A018487. Perfect numbers: A000396.

Cf. A000043, A000079, A000668, A061645, A133033, A135655.

Sequence in context: A056767 A008863 A145117 this_sequence A118655 A155559 A166687

Adjacent sequences: A133022 A133023 A133024 this_sequence A133026 A133027 A133028

KEYWORD

fini,full,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Oct 26 2007, Mar 03 2008, Dec 27 2008

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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