The function \(f\), defined for whole positive numbers, satisfies \(f(1)=1\) and also the rules \[f(2n)=2f(n),\] \[f(2n+1)=4f(n),\] for all values of \(n\). How many numbers \(n\) satisfy \(f(n)=16\)?

\(3\),

\(4\),

\(5\),

\(6\).

The function \(f\), defined for whole positive numbers, satisfies \(f(1)=1\) and also the rules \[f(2n)=2f(n),\] \[f(2n+1)=4f(n),\] for all values of \(n\). How many numbers \(n\) satisfy \(f(n)=16\)?

\(3\),

\(4\),

\(5\),

\(6\).