What's the Pattern?

Let \(f\) be a function:

\(f(3)=3\)

\(f(7)=6\)

\(f(9)=9\)

\(f(11)=2\)

\(f(13)=6\)

\(f(17)=16\)

\(f(19)=18\)

\(f(21)=6\)

What is \(f(23)\)?

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