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

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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.

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)

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: $$ r(n) = n - 9 \left\lfloor \frac{n}{9} \right\rfloor $$

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)

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Cite as source (bibliography):

*Sum of Digits* on dCode.fr [online website], retrieved on 2024-11-05,

sum,digit,addition,add,number,total,count

https://www.dcode.fr/digits-sum

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