$ord_{n}(k) = \infty$?

Question

For example:

$14^{0} \pmod 2 = 1$

$14^{1} \pmod 2 = 0$

$14^{2} \pmod 2 = 0$

...

They will never be achieved again number one. So $ord_{2}(14) = \infty$?

When $ord_{n}(k) = \infty$?