A137486 Numbers with 23 divisors.

4194304, 31381059609, 2384185791015625, 3909821048582988049, 81402749386839761113321, 3211838877954855105157369, 1174562876521148458974062689, 13569980418174090907801371961

Offset: 1

Author

R. J. Mathar, Apr 22 2008

Keywords

• nonn
• easy

Comments

Maple implementation: see A030513.

22nd powers of primes. The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. - Omar E. Pol, May 06 2008

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A137485 (22 divs), A137487 (24 divs).

Programs

Mathematica

Prime[Range[15]]^22 (* Vladimir Joseph Stephan Orlovsky, May 05 2011 *)

PARI

a(n)=prime(n)^22 \\ Charles R Greathouse IV, Jun 19 2016

Formula

A000005(a(n))=23.

a(n)=A000040(n)^(23-1)=A000040(n)^(22). - Omar E. Pol, May 06 2008