

A109676


Numbers n such that the sum of the digits of (n!  1) is divisible by n.


0




OFFSET

1,2


COMMENTS

Next term after 42862 (if it exists) is greater than 750,000.


LINKS

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


EXAMPLE

The digits of 5405!  1 sum to 86480 and 86480 is divisible by 5405, so 5405 is in the sequence.


MATHEMATICA

Do[k = n!  1; s = Plus @@ IntegerDigits[k]; If[Mod[s, n] == 0, Print[n]], {n, 1, 10^5}]


CROSSREFS

Sequence in context: A211462 A278855 A137186 * A223888 A211572 A087239
Adjacent sequences: A109673 A109674 A109675 * A109677 A109678 A109679


KEYWORD

base,hard,more,nonn


AUTHOR

Ryan Propper, Aug 06 2005


STATUS

approved



