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Search: id:A062933
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| A062933 |
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Numbers n such that n divides the sum of digits of 8^n. |
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+0
1
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| 1, 2, 25, 70, 106, 268, 304, 358, 1559, 2369, 2824, 2855, 3616, 5218
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The next term, if it exists, is greater than 100000. - Ryan Propper (rpropper(AT)stanford.edu), Aug 31 2005
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EXAMPLE
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a(2)=25, so 25 divides sum of digits of 8^25 (i.e.3+7+7+7+8+9+3+1+8+6+2+9+5+7+1+6+1+7+0+9+5+6+8=125).
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MATHEMATICA
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k = 1; Do[k *= 8; s = Plus @@ IntegerDigits[k]; If[Mod[s, n] == 0, Print[n]], {n, 1, 10^5}] (Propper)
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CROSSREFS
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Sequence in context: A038834 A041071 A153478 this_sequence A123012 A080515 A009381
Adjacent sequences: A062930 A062931 A062932 this_sequence A062934 A062935 A062936
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KEYWORD
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hard,nonn,base
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AUTHOR
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Shyam Sunder Gupta (guptass(AT)rediffmail.com ) and Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 16 2002
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EXTENSIONS
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Corrected and extended by Ryan Propper (rpropper(AT)stanford.edu), Aug 31 2005
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