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?

Let us then define a "peculiar number" n as a number for which there exists a peculiar integer with n digits.

So what is more frequent, prime numbers or peculiar numbers?

Does the sum of the reciprocals of all peculiar numbers have a limit?

Posted by Eric on 2006-08-22 16:32:36