TOPICS
Search

Number Length


The length of a number n in base b is the number of digits in the base-b numeral for n, given by the formula

 L(n,b)=|_log_b(n)_|+1,

where |_x_| is the floor function.

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


See also

Concatenation, Digit, Figures, Multiplicative Persistence

Explore with Wolfram|Alpha

Cite this as:

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

Subject classifications