A133025 Divisors of 33550336, the 5th perfect number.

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

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