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Sum of Digits

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.

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Sum of Digits -

Tag(s) : Number Games, Arithmetics

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# Sum of Digits

## Digit Sum Calculator

 Computation to perform Sum of all digits (addition) Digital Root (until 1 digit) Count each digits appearance
 Treatment of Digits As a single group Separate each number

### 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 online 'Sum of Digits' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Sum of Digits' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Sum of Digits' function (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and no data download, script, copy-paste, or API access for 'Sum of Digits' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.

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