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Summing or Multiplying (Posted on 2006-08-21) Difficulty: 4 of 5
123 is a peculiar integer, because 1+2+3=1*2*3. 1412 is also peculiar, since 1+4+1+2=1*4*1*2.

A simple question: are there infinitely many such numbers?

A not so simple question: if so, are there such numbers for ANY number of digits?

See The Solution Submitted by e.g.    
Rating: 4.2500 (8 votes)

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Some Thoughts re: Peculiars vs. Primes | Comment 16 of 20 |
(In reply to Peculiars vs. Primes by Eric)

For the first question: IF there are infinite "peculiar number n's" then there are as many as prime numbers... but you have to prove that there ARE infinite such numbers.

The second one is a even tougher one!

  Posted by Federico Kereki on 2006-08-22 17:33:41

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