A061429 Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.

6, 49, 66, 94, 389, 398, 469, 496, 649, 666, 694, 839, 893, 938, 946, 964, 983, 2899, 2989, 2998, 3689, 3698, 3869, 3896, 3968, 3986, 4499, 4669, 4696, 4949, 4966, 4994, 6389, 6398, 6469, 6496, 6649, 6666, 6694, 6839, 6893, 6938, 6946, 6964, 6983, 8299

Offset: 1

Author

Amarnath Murthy, May 03 2001

Keywords

• nonn
• base
• easy
• look

Comments

The smallest number containing all the possible digits is 123468889999999. - Jianing Song, Nov 21 2019

Examples

			694 is a term as the geometric mean of digits is (6*9*4)^(1/3)= 6.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A061426-A061430.

Cf. A000400.

Programs

Haskell

a061429 n = a061429_list !! (n-1)
a061429_list = filter (h 1 1) [1..] where
   h 0   = False
   h u v 0 = u == v
   h u v w = h (r * u) (6 * v) w' where (w', r) = divMod w 10
-- Reinhard Zumkeller, Jan 13 2014

Mathematica

Select[Range[9000],GeometricMean[IntegerDigits[#]]==6&] (* Harvey P. Dale, May 29 2021 *)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 16 2001