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: With a program by Federico Kereki)
In regards to the "simple question", in agreement with Charlie, there are a infinite many such numbers.
And, in agreement with Federico's analysis (if I understand his correctly), the answer to the "not so simple question" is there are a some number of digits where the "peculiar integer" does not exist -- such as for 24 digits.
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Posted by Dej Mar
on 2006-08-21 20:38:13 |