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A067864 Numbers n such that n divides the sum of digits of 6^n. 7
1, 3, 9, 18, 90 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: the sequence is finite, since (sum of the digits of 6^n)/n->log_10(6)*4.5~3.50168 as n->00 (this is also a conjecture). - Robert Gerbicz, May 08 2008

Next term, if it exists, exceeds 100000. [From Sean A. Irvine, Apr 05 2010]

LINKS

Table of n, a(n) for n=1..5.

EXAMPLE

a(1)=3, so 3 divides sum of digits of 6^3 (i.e.2+1+6=9).

CROSSREFS

Cf. A000400, A066002, A175457, A175169, A067862, A067863.

Sequence in context: A133136 A161138 A201222 * A272513 A270979 A253219

Adjacent sequences:  A067861 A067862 A067863 * A067865 A067866 A067867

KEYWORD

hard,nonn,base

AUTHOR

Amarnath Murthy and Shyam Sunder Gupta, Feb 16 2002

STATUS

approved

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Last modified January 22 12:13 EST 2019. Contains 319363 sequences. (Running on oeis4.)