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A133025 Divisors of 33550336, the 5th perfect number. 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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

Table of n, a(n) for n=1..26.

Index entries for sequences related to divisors of numbers

Omar 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).

MATHEMATICA

Divisors[33550336] (* Harvey P. Dale, Jan 24 2015 *)

PROG

(PARI) divisors(33550336) \\ Charles R Greathouse IV, Jun 21 2017

CROSSREFS

Cf. A018254, A018487. Perfect numbers: A000396.

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

Sequence in context: A221180 A219615 A168084 * A216095 A190126 A219676

Adjacent sequences:  A133022 A133023 A133024 * A133026 A133027 A133028

KEYWORD

fini,full,nonn,easy

AUTHOR

Omar E. Pol, Oct 26 2007, Mar 03 2008, Dec 27 2008

STATUS

approved

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Last modified November 15 13:47 EST 2019. Contains 329149 sequences. (Running on oeis4.)