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A109676
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Numbers n such that the sum of the digits of (n! - 1) is divisible by n.
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0
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OFFSET
| 1,2
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COMMENTS
| Next term after 42862 (if it exists) is greater than 750,000.
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EXAMPLE
| The digits of 5405! - 1 sum to 86480 and 86480 is divisible by 5405, so 5405 is in the sequence.
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MATHEMATICA
| Do[k = n! - 1; s = Plus @@ IntegerDigits[k]; If[Mod[s, n] == 0, Print[n]], {n, 1, 10^5}]
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CROSSREFS
| Sequence in context: A033682 A020283 A137186 * A087239 A032653 A063308
Adjacent sequences: A109673 A109674 A109675 * A109677 A109678 A109679
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KEYWORD
| base,hard,more,nonn
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AUTHOR
| Ryan Propper (rpropper(AT)stanford.edu), Aug 06 2005
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