15 Digit Imei Calculator

What is IMEI?

IMEI stands for International Mobile Equipment Identity. It's a unique 15-digit number that identifies mobile devices like smartphones and tablets. The IMEI number is typically found on the device's packaging, inside the battery compartment, or in the device settings.

The first 8 digits of an IMEI number identify the reporting body, which is usually the manufacturer. The next 6 digits identify the device model. The last digit is a check digit used to validate the IMEI number.

IMEI Validation Rules

IMEI numbers must follow specific validation rules to ensure they're valid. The most important rule is the Luhn algorithm, which checks the validity of the number using a mathematical formula.

Luhn Algorithm for IMEI Validation

The Luhn algorithm works as follows:

1. Starting from the rightmost digit (the check digit), move left.
2. Double the value of every second digit.
3. If doubling a digit results in a number greater than 9, add the digits of the product.
4. Sum all the digits.
5. If the total modulo 10 equals 0, the number is valid.

How to Calculate 15-Digit IMEI

Calculating a 15-digit IMEI involves several steps. Here's a simplified process:

1. Determine the first 14 digits of the IMEI number.
2. Apply the Luhn algorithm to calculate the check digit.
3. Combine the first 14 digits with the calculated check digit to form the complete 15-digit IMEI.

Step-by-Step Calculation

To calculate a 15-digit IMEI:

1. Start with the first 14 digits of the IMEI number.
2. Multiply each digit in an odd position (1st, 3rd, 5th, etc.) by 2.
3. If any result is greater than 9, add the digits of the result.
4. Sum all the digits.
5. The check digit is the number that, when added to the sum, makes the total divisible by 10.
6. Combine the first 14 digits with the check digit to form the complete 15-digit IMEI.

Example Calculation

Let's calculate a 15-digit IMEI using the following first 14 digits: 12345678901234

1. Multiply each digit in an odd position by 2:
   • 1×2 = 2
   • 3×2 = 6
   • 5×2 = 10 (sum digits: 1+0=1)
   • 7×2 = 14 (sum digits: 1+4=5)
   • 9×2 = 18 (sum digits: 1+8=9)
   • 1×2 = 2
   • 3×2 = 6
2. Add the remaining digits in even positions:
   • 2
   • 4
   • 6
   • 8
   • 0
   • 2
   • 4
3. Sum all the digits: 2 + 6 + 1 + 5 + 9 + 2 + 2 + 4 + 6 + 8 + 0 + 2 + 4 = 51
4. Calculate the check digit: (10 - (51 % 10)) % 10 = 9
5. Combine the first 14 digits with the check digit: 123456789012349