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Digital root

For a positive number this is the same as the remainder modulo 9, adjusted for multiples of 9.

How it is calculated

Zero stays zero. For numbers divisible by 9, the digital root is 9, not 0.

For n > 0 the root = 1 + (n − 1) mod 9

Where the numbers come from

  • Number

Example

3 + 8 = 11, then 1 + 1 = 2. The digital root of 38 is 2.

Questions

Is this the divisibility-by-9 check?

Yes. If the digital root is divisible by 9, so is the number. A root of 9 is exactly that case.

Negative numbers?

A nonnegative integer is used here.

Leading zeros?

The number is entered as a value, so leading zeros are not kept.