A067862 Numbers k that divide the sum of digits of 3^k.

1, 3, 6, 9, 27, 54, 180, 216, 225, 486

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 k such that A175435(k) = 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 A349597 A178467

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