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PUZZLET 222

A Self-Terminating Sequence

A sequence is formed thus:

Start with an integer n.  Multiply its smallest and largest digits together and add their product to n, forming the second term in the sequence.  Repeat this process until n stops changing.

Example: 231, 234, 242, 250, 250.  This is a 4-term sequence.

What is the longest sequence for starting values less than 30,000?




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Last Updated: September 19th, 2010.