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

1,1

Comments

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

Links

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

Example

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

Mathematica

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

Prog

(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

Crossrefs

Cf. A061426-A061430.

Cf. A000400.

Sequence in context: A084259 A028308 A173011 * A048357 A027766 A097299

Adjacent sequences: A061426 A061427 A061428 * A061430 A061431 A061432

Keyword

nonn,base,easy,look

Author

Amarnath Murthy, May 03 2001

Extensions

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

Status

approved