Everything about Sum-product Number totally explained
A
sum-product number is an integer that in a given base is equal to the sum of its digits times the product of its digits. Or, to put it algebraically, given an integer
n that's
l digits long in base
b (with
dx representing the
xth digit), if
can be true only for
l less than the limit.
In Roman numerals, the only sum-product numbers are 1, 2, 3, and possibly 4 (if written IIII).
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