Digital sum
Encyclopedia
Values
- The digit sumDigit sumIn mathematics, the digit sum of a given integer is the sum of all its digits,...
- add the digits of the representation of a number in a given base. For example, considering 84001 in base 10 the digit sum would be 8 + 4 + 0 + 0 + 1 = 13. - The digital rootDigital rootThe digital root of a number is the value obtained by an iterative process of summing digits, on each iteration using the result from the previous iteration to compute a digit sum...
- repeatedly apply the digit sum operation to the representation of a number in a given base until the outcome is a single digit. For example, considering 84001 in base 10 the digital root would be 4 (8 + 4 + 0 + 0 + 1 = 13, 1 + 3 = 4).
Operations
The mathematical operation digital sum in base bDigital sum in base b
The digital sum in base b of a set of natural numbers is calculated as follows: express each of the numbers in base b, then take the sum of corresponding digits and discard all carry overs...
can also be called the digital sum. This is where each place is summed independently, ignoring digit carry. For example 84001 + 56734 = (8 + 5 = 13)(4 + 6 = 10)(0 + 7 = 7)(0 + 3 = 3)(1 + 4 = 5) = 30735.