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A276038 Numbers n such that product of digits of n is a power of 6. 9
1, 6, 11, 16, 23, 32, 49, 61, 66, 94, 111, 116, 123, 132, 149, 161, 166, 194, 213, 229, 231, 236, 263, 292, 312, 321, 326, 334, 343, 362, 389, 398, 419, 433, 469, 491, 496, 611, 616, 623, 632, 649, 661, 666, 694, 839, 893, 914, 922, 938, 941, 946, 964 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

David A. Corneth, Table of n, a(n) for n = 1..11690 (Terms <= 10^6)

EXAMPLE

946 is in the sequence because 9*4*6 = 216 = 6^3.

MATHEMATICA

Select[Range[20000], IntegerQ[Log[6, Times@@(IntegerDigits[#])]] &]

PROG

(PARI) is(n) = my(d = vecsort(digits(n)), p = prod(i = 1, #d, d[i])); d[1] >= 1 && 6^logint(p, 6) == p \\ David A. Corneth, Jun 23 2018

CROSSREFS

Cf. similar sequences listed in A276037.

Cf. A199988.

Sequence in context: A315501 A315502 A315503 * A315504 A315505 A191158

Adjacent sequences:  A276035 A276036 A276037 * A276039 A276040 A276041

KEYWORD

nonn,base

AUTHOR

Vincenzo Librandi, Aug 19 2016

STATUS

approved

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Last modified May 22 21:05 EDT 2019. Contains 323503 sequences. (Running on oeis4.)