A114334 Divisors of 6^6.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 729, 864, 972, 1296, 1458, 1728, 1944, 2592, 2916, 3888, 5184, 5832, 7776, 11664, 15552, 23328, 46656

Offset: 1

Author

Reinhard Zumkeller, Feb 07 2006

Keywords

• nonn
• fini
• full
• easy

Comments

Subsequence of A003586; 128 = 2^(6+1) is the smallest 3-smooth number not dividing 6^6.

a(49) = A175755(1) = 46656 = smallest number with exactly 49 divisors; a(7) = A201266(1). - Reinhard Zumkeller, Nov 29 2011

Links

• Index entries for sequences related to divisors of numbers

Crossrefs

A291713 lists terms a(14)-a(22).

Programs

Haskell

a114334 n = a114334_list !! (n-1)
a114334_list = a027750_row (6 ^ 6)  -- Reinhard Zumkeller, Jan 07 2014

Mathematica

Divisors[6^6] (* Robert G. Wilson v, Aug 17 2012 *)

PARI

divisors(6^6) \\ Charles R Greathouse IV, Jun 21 2017

Formula

a(n) = A027750(46656,n) for n = 1 .. A000005(46656). - Reinhard Zumkeller, Jan 07 2014