sum*product = n

N. J. A. Sloane njas at research.att.com
Tue Dec 11 18:29:14 CET 2001


Sol Golomb recently mentioned an old puzzle:

find all n such that sum of digits of n times
product of digits of n  is equal to n

this is a finite sequence which begins 1, 135, 144

does any seq fan know of further terms?

Neil

e g   (1+3+5)*1*3*5) = 135





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