Tool to find the sum of all digits of a number. The digit sum of a number is often used in numerology and sometimes in math problems.
Sum of Digits - dCode
Tag(s) : Number Games, Arithmetics
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Sum of Digits
Digit Sum Calculator
Answers to Questions (FAQ)
What is the sum of digits in a number? (Definition)
The sum of the digits of a number is the addition of each digit composing a number.
A number is made up of digits. In the decimal base, there are 10 digits: 0,1,2,3,4,5,6,7,8 and 9.
How to calculate the sum of digits in a number?
The only method is to count the sum total of all digits, as does dCode.
Example: 123 $ 1+2+3 = 6 $
Pay attention to say sum of the digits of a number (the expressions such as the sum of a digit, or the sum of a number are meaningless)
How to calculate a digital root?
The digital root is computed through recursive reduction (repeated sum) that consists in repeating the addition operation until the result has only one digit.
Example: 789: $ 7+8+9 = 24 $ and $ 2+4 = 6 $
A mathematical formula makes it possible to calculate the numerical root $ r $ directly: $$ r(n) = n - 9 \left\lfloor \frac{n}{9} \right\rfloor $$
What is the difference between a number and a digit?
A number is made of digits, like a word is made of letters.
Example: There are only 10 digits: 0,1,2,3,4,5,6,7,8,9 (in base 10)
Example: There is an infinity of numbers
Numbers can have only one digit such as 1, 2 ou 3 (they are both numbers and digits)
Source code
dCode retains ownership of the "Sum of Digits" source code. Any algorithm for the "Sum of Digits" algorithm, applet or snippet or script (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or any "Sum of Digits" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) or any database download or API access for "Sum of Digits" or any other element are not public (except explicit open source licence like Creative Commons). Same with the download for offline use on PC, mobile, tablet, iPhone or Android app.
Reminder: dCode is an educational and teaching resource, accessible online for free and for everyone.
Cite dCode
The content of the page "Sum of Digits" and its results may be freely copied and reused, including for commercial purposes, provided that dCode.fr is cited as the source.
Exporting the results is free and can be done simply by clicking on the export icons ⤓ (.csv or .txt format) or ⧉ (copy and paste).
To cite dCode.fr on another website, use the link:
In a scientific article or book, the recommended bibliographic citation is: Sum of Digits on dCode.fr [online website], retrieved on 2025-04-15,
