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A067862 Numbers n that divide the sum of digits of 3^n. 8

%I

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

%N Numbers n that divide the sum of digits of 3^n.

%C No further terms below 200000. - _Sascha Kurz_, Mar 19 2002

%C No further terms below 1000000 - _Harvey P. Dale_, Dec 01 2010

%C Almost certainly there are no further terms.

%C All terms greater than 1 are multiples of 3. - _Alonso del Arte_, Oct 08 2013

%C Numbers n such that A175435(n) = 0. - _Michel Marcus_, Oct 09 2013

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

%t Select[Range[1000000], Divisible[Total[IntegerDigits[3^#]], #] &] (* _Harvey P. Dale_, Dec 01 2010 *)

%Y Cf. A004166, A175169, A175435.

%K nonn,base

%O 1,2

%A _Shyam Sunder Gupta_ and _Amarnath Murthy_, Feb 16 2002

%E Checked and found no further terms up to n = 1000000. - _Harvey P. Dale_, Dec 01 2010

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Last modified July 6 23:56 EDT 2020. Contains 335484 sequences. (Running on oeis4.)