• ← IntegerExponent
• → $MachineEpsilon

IntegerLength

WMA link

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.

• • IntegerLength[123456]

• • IntegerLength[10^10000]

• • IntegerLength[-10^1000]

IntegerLength with base 2:

• • IntegerLength[8, 2]

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

• • IntegerLength /@ (10 ^ Range[100]) == Range[2, 101]

The base must be greater than 1:

• • IntegerLength[3, -2]

0 is a special case:

• • IntegerLength[0]