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 A108859 Numbers k such that k divides the sum of the digits of k^(2k). 0
 1, 3, 5, 9, 18, 63, 72, 74, 104, 111, 116, 117, 565, 621, 734, 1242, 1620, 4596, 4728, 5823, 5956, 21135, 28251, 46530, 46908, 78257, 129619, 277407 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The quotients are 1, 6, 8, 9, 13, 17, 16, 17, 17, 18, 17, 19, 25, 25, 26, 28, 20, 33, 33, 34, 34, 39, 40, 33, 42, 44, 46, 49. LINKS EXAMPLE 734 is a term because the sum of the digits of 734^(2*734), 19084, is divisible by 734. MATHEMATICA Do[If[Mod[Plus @@ IntegerDigits[n^(2*n)], n] == 0, Print[n]], {n, 1, 10000}] CROSSREFS Sequence in context: A279634 A028411 A018098 * A032385 A218138 A192230 Adjacent sequences: A108856 A108857 A108858 * A108860 A108861 A108862 KEYWORD base,hard,more,nonn AUTHOR Ryan Propper, Jul 11 2005 EXTENSIONS a(22)-a(28) from Lars Blomberg, Jul 12 2011 STATUS approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)