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Series Challenge

February 1 2013 at 10:05 AM
lawgin  (no login)


This challenge tests your ability to work with big integers.
You start an integer series with some integer N. The sum of the individual digits of N is S. If N is evenly divisible by S, then N/S is the next number in the series. If not evenly divisible, the next number in the series is N*S. Continue this process until the series begins an endless repetition.

972 has a length of only 4

11 has a length of 7

What positive integer less than 500 produces the longest series?

or a much tougher challenge,

What positive integer less than 1000 produces the longest series?

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