The number length of a nonnegative integer in an integer base is the number of digits in the base- numeral for written without leading zeros. For , it is given by

where is the floor function. The numeral for 0 consists of one digit, so .

The multiplicative persistence of an -digit number is sometimes also called its length.

See also

Concatenation, Digit, Figures, Multiplicative Persistence

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Cite this as:

Weisstein, Eric W. "Number Length." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NumberLength.html

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