Pumbaa Entry Allocation Number

The Pumbaa Entry Allocation Number is a type of LDI created by Pumbaa. It consists of the format, K12345678Ω, where K is the location character (Latin), 12345678 are random numbers and Ω is a Greek character used as a checksum.

Format
A normal Pumbaa Entry Allocation Number has a format of K12345678Ω, but manga characters are issued with the format of AA123456789Ω, where AA are random Latin letters, 12345678 are random numbers and Ω is a checksum Greek character.

Checksum calculation
A checksum letter is included to help identify transcription errors. Unlike other systems with checksum letter validation filled with Latin characters, the Pumbaa Entry Allocation Number uses Greek letters as checksum letters.

First, Latin letters are converted to numbers (beginning with A = 33, any references to 4 are skipped due to tetraphobia, so B = 35, C = 36, etc.): Then assign the weights, from 10 for position 1 to 2 for position 9. If there are 12 characters, then assign from 12 for the 1st position to 2 for the 11th position. Each digit is multiplied by the weight according to the position, then all products are added up, and then finding the remainder after dividing by 21 using long division or modulo operation. The remainder will indicate the position in the corresponding letter in the Greek alphabet. If there is no remainder after division by 21, the checksum character is Φ, phi, the 21st letter of the Greek alphabet.

For example, finding the check character for Q26305144_: It all sums up to 746. Then, do a long division (see below) or modulus 21 calculation.

To divide 746 by 21: The solution for Long Division of 746 divided by 21 is 35 with remainder of 11, and lambda, Λ, is the 11th letter of the Greek alphabet. Thus, the correct Pumbaa Entry Allocation Number is Q26305144Λ.
 * Divide 74 by 21 to get 3
 * Multiply the quotient digit (3) by the divisor 21: 3 x 21 = 63
 * Subtract 63 from 74: 74 - 63 = 11
 * Bring down the next number of the dividend: 116
 * Divide 116 by 21 to get 5
 * Multiply the quotient digit (5) by the divisor 21: 5 x 21 = 105
 * Subtract 105 from 116: 116 - 105 = 11

Transcription errors
There are a number of transcription errors when typing with Pumbaa Entry Allocation Number: