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A062927 Numbers k such that k divides the sum of digits of 9^k. 2
1, 3, 6, 9, 27, 90, 108, 144, 243 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Next term after 243, if it exists, is greater than 30000. - Ryan Propper, Jun 18 2005

No more terms < 1000000. - Lars Blomberg, May 05 2011

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

3 divides the sum of digits of 9^3 (i.e., 7 + 2 + 9 = 18), so 3 is a term.

MATHEMATICA

Do[If[Mod[Plus @@ IntegerDigits[9^n, 10], n] == 0, Print[n]], {n, 1, 30000}] (* Ryan Propper, Jun 18 2005 *)

Select[Range[300], Divisible[Total[IntegerDigits[9^#]], #]&] (* Harvey P. Dale, Jun 03 2015 *)

CROSSREFS

Sequence in context: A019461 A223556 A067862 * A178467 A193802 A254616

Adjacent sequences:  A062924 A062925 A062926 * A062928 A062929 A062930

KEYWORD

hard,more,nonn,base

AUTHOR

Amarnath Murthy and Shyam Sunder Gupta, Feb 16 2002

STATUS

approved

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Last modified July 21 04:40 EDT 2019. Contains 325189 sequences. (Running on oeis4.)