The meaning of "factors" notation

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When I read a paper (Conjecture 2.5 of paper link), I found a notation which is confusing,

$O(\log n~\text{factors})$.

I have no idea about the operation "factors"? What does it mean? Does it mean factorials? Many thanks!

paper link

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You are expected to read it as $\big[O(\log n)\big]$ factors. The number in question has that many factors within a constant multiplier.