Significance and Formula of The Digital Root
It helps to see the digital root of a positive integer as the position it holds with respect to the last multiple of nine less than it. For example, the digital root of 11 is 2, which means that 11 is the second number after 9. The digital root of 2035 is 1, which means that 2035-1 is a multiple of nine. A digital root of nine means that the number is a multiple of nine, which is equivalent to a digital root of 9.
With this in mind the digital root of a positive integer may be defined by using Floor function, as
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