CPHill, I have a question about logarithms and functions too.

CPHill, I have a question about logarithms and functions too. 

Let {  $n^2+1$    if n is odd.

      {  $\dfrac{n}{2}$    if n is even.

For how many integers n from 1 to 100, inclusive, does $f(f(...f(n)...)) = 1$ for some number of applications of f?

Thanks!