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?

(In reply to my not so simple solution by Daniel)

This method requires setting "a" to "n", which may be greater than 9!

Posted by Old Original Oskar! on 2006-08-21 21:54:01