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 re(2): Peculiars vs. Primes by Dej Mar)

Frequency has nothing to do with comparing infinities: there are so many integers as 15th powers, for example, though the latter sequence grows quite faster and is sparser.

Posted by Old Original Oskar! on 2006-08-23 07:24:50