When a positive integer N is fed into a machine, the output is a number

When a positive integer N is fed into a machine, the output is a number

When a positive integer N is fed into a machine, the output is a number calculated according to the rule shown below.

For example, starting with an input of N=7, the machine will output 3*7+1=22. Then if the output is repeatedly inserted into the machine five more times, the final output is 26.

When the same 6-step process is applied to a different starting value of N, the final output is 1. What is the sum of all such integers N?

(A) 73 (B) 74 (C) 75 (D) 82 (E) 83

answer：E