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Given any positive integer nnn, let p(n)p(n)p(n) be the product of the non-zero digits of nnn. If nnn has only one digit, then p(n)p(n)p(n) is equal to that digit.
Let:S=p(1)+p(2)+p(3)+…+p(999)Let: S = p(1) + p(2) + p(3) +\ldots + p(999)Let:S=p(1)+p(2)+p(3)+…+p(999).
What is the largest prime factor of SSS?
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