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A067862 Numbers n that divide the sum of digits of 3^n. 8
1, 3, 6, 9, 27, 54, 180, 216, 225, 486 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

No further terms below 200000. - Sascha Kurz, Mar 19 2002

No further terms below 1000000 - Harvey P. Dale, Dec 01 2010

Almost certainly there are no further terms.

All terms greater than 1 are multiples of 3. - Alonso del Arte, Oct 08 2013

Numbers n such that A175435(n) = 0. - Michel Marcus, Oct 09 2013

LINKS

Table of n, a(n) for n=1..10.

EXAMPLE

6 divides the sum of digits of 3^6 (i.e., 7 + 2 + 9 = 18), so it belongs to the sequence.

MATHEMATICA

Select[Range[1000000], Divisible[Total[IntegerDigits[3^#]], #] &] (* Harvey P. Dale, Dec 01 2010 *)

CROSSREFS

Cf. A004166, A175169, A175435.

Sequence in context: A296110 A019461 A223556 * A062927 A178467 A193802

Adjacent sequences:  A067859 A067860 A067861 * A067863 A067864 A067865

KEYWORD

nonn,base

AUTHOR

Shyam Sunder Gupta and Amarnath Murthy, Feb 16 2002

EXTENSIONS

Checked and found no further terms up to n = 1000000. - Harvey P. Dale, Dec 01 2010

STATUS

approved

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Last modified January 22 18:06 EST 2019. Contains 319365 sequences. (Running on oeis4.)