Mathematica > Mathematics and Algorithms > Mathematical Functions > Number Theoretic Functions > Number Digits > IntegerLength
BUILT-IN MATHEMATICA SYMBOL

IntegerLength

IntegerLength[n]
gives the number of digits in the base 10 representation of the integer n.

IntegerLength[n, b]
gives the number of digits in the base b representation of n.

DetailsDetails

  • Integer mathematical function, suitable for both symbolic and numerical manipulation.
  • IntegerLength[n, b] is effectively an efficient version of Floor[Log[b, n]]+1.
  • IntegerLength ignores the sign of n.
  • IntegerLength automatically threads over lists.

ExamplesExamplesopen allclose all

Basic Examples (4)Basic Examples (4)

Find the number of decimal digits in 123456789:

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The number of binary digits in :

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Plot it:

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The IntegerLength for different bases:

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Applications (2)Applications (2)

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