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

Author

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

Keywords

• fini
• full
• nonn
• easy

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

• Index entries for sequences related to divisors of numbers
• Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos.

Crossrefs

Cf. A018254, A018487. Perfect numbers: A000396.

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

Programs

Mathematica

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

PARI

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

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).