Step 1: Divide the number into separate digits:
4117 => 4 1 1 7
Step 2: Calculate the distance between each digit and the next (the last digit with the first):
4 to 1 = 3
1 to 1 = 0
1 to 7 = 6
7 to 4 = 3
Step 3: Combine the filters to a string:
3 0 6 3 = 3063