IntegerLength

IntegerLength(x)

gives the number of digits in the base-10 representation of x.

IntegerLength(x, b)

gives the number of base-b digits in x.

See

>> IntegerLength(123456)
6

>> IntegerLength(10^10000)
10001

>> IntegerLength(-10^1000)
1001

IntegerLength with base 2:

>> IntegerLength(8, 2)
4

Check that IntegerLength is correct for the first 100 powers of 10:

>> IntegerLength /@ (10 ^ Range(100)) == Range(2, 101)
True

The base must be greater than 1:

>> IntegerLength(3, -2)
IntegerLength(3, -2)

‘0’ is a special case:

>> IntegerLength(0)
0

>> IntegerLength /@ (10 ^ Range(100) - 1) == Range(1, 100)
True