Step 1: Divide the number into separate digits:
16169 => 1 6 1 6 9
Step 2: Calculate the distance between each digit and the next (the last digit with the first):
1 to 6 = 5
6 to 1 = 5
1 to 6 = 5
6 to 9 = 3
9 to 1 = 8
Step 3: Combine the filters to a string:
5 5 5 3 8 = 55538