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. Except explicit open source licence (indicated Creative Commons / free), the "Sum of Digits" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "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.) and all data download, script, or API access for "Sum of Digits" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.
Cite dCode
The copy-paste of the page "Sum of Digits" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
Sum of Digits on dCode.fr [online website], retrieved on 2024-05-08,
