# The 1 percent

What is the smallest positive integer $$n > 1$$ for which fewer than $$1 \%$$ of the positive integers less than $$n$$ are factors of $$n$$?

As an explicit example, there are $$5$$ positive integers less than $$6$$, and $$3$$ of these are factors of $$6$$; so $$60 \%$$ of the positive integers less than $$6$$are factors of $$6$$.

×