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ProSum Numbers (Posted on 2015-01-28) Difficulty: 2 of 5
ProSum Numbers are obtained when the product of an integer's digits divided by the sum of its digits is itself an integer. If the resultant integer can be used to produce yet another integer in the same way, a sequence is formed. It is terminated when a new term is less than 10. The first term must be at least 10, or an endless loop is formed.

Find the lowest starting term for a sequence of two ProSum Numbers, then do the same for three terms and four terms.

No Solution Yet Submitted by Danish Ahmed Khan    
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looking farther -- the lowest 4-sequence Comment 5 of 5 |
(In reply to re(2): computer solution -- corrected program by Charlie)

24778899      4
     24778899
     37632
     36
     2

  Posted by Charlie on 2015-01-28 15:05:54
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