Number theory

Number Theory Level 4

\[\large 1! , 2!, 3!, \ldots , 2016! \]

The product of all but one of the integers above results in a perfect square. Which number is it?

If the number can be expressed as \(x!\), where \(x\) is some integer, submit \(x\) as your answer.

\[\] Notation: \(!\) denotes the factorial notation. For example, \(8! = 1\times2\times3\times\cdots\times8 \).


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