Octavio writes an integer n≥1 on a blackboard and then he starts a process in which, at each step he erases the integer k written on the blackboard and replaces it with one of the following numbers:
3k-1, 2k+1, \frac{k}{2}.
provided that the result is an integer.Show that for any integer n≥1, Octavio can write on the blackboard the number 32023 after a finite number of steps. number theoryOMCCblackboardOperation