Step 1: Divide the number into separate digits:
5877 => 5 8 7 7
Step 2: Calculate the distance between each digit and the next (the last digit with the first):
5 to 8 => 3
8 to 7 => 1
7 to 7 => 0
7 to 5 => 2
Step 3: Convert distances to codes (0=E[qual],
1 & 9 = C[onsecutive], 2-8 = N[one]):
3 => N
1 => C
0 => E
2 => N
Step 4: Combine the filters to a string:
N C E N = NCEN