The digital root in math is the single-digit value obtained by continuously summing the digits of a number until only one digit remains.
How Digital Roots Work?
-
Start by adding the digits of a number.
-
If the result has more than one digit, repeat the process with the new sum.
-
Continue until a single-digit number is reached.
-
For example, for \(67392\): \(6 + 7 + 3 + 9 + 2 = 27\) then, \(2 + 7 = 9\). So, the digital root is \(9\).
Applications
-
Used to check arithmetic calculations, especially for addition, subtraction, and multiplication by confirming digital roots match expectations.
-
Helpful in divisibility tests, particularly for \(9\) (and sometimes for \(3\)).
Important!
The digital root of multiples of \(9\) is \(9\).