First digit counting compatibility for Niven integer powers

Werner Hürlimann


It is claimed that the first digits of Niven integer powers follow a generalized Benford law with a specific parameter-free size-dependent exponent that converges asymptotically to the inverse power exponent. Numerical and other mathematical evidence, called first digit counting compatibility, is provided for this statement.


first digit; Niven number; asymptotic counting function; probabilistic number theory; mean absolute deviation; probability weighted least squares

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Author (2014-2016) 6 papers

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