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Unique Value (Posted on 2013-07-14) Difficulty: 4 of 5
At the outset, take a certain 3-digit base ten positive integer N composed entirely of nonzero digits. The three digits may or may not be distinct.
Step-1: Add the digits of N.
Step-2: Multiply the digits of N.
Step-3: Multiply the result obtained in Step-1 by the result obtained in Step-2.
Step-4: Multiply the result obtained in Step-3 by the units digit of N.
Surprise ! The result obtained in Step-4 is N itself !!

The value of N having this property is unique. What is that value? Prove that there are no others.

*** No computer programs.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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  Subject Author Date
SolutionSalil2013-07-15 07:06:31
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