# A PARTIAL ASYMPTOTIC FORMULA FOR THE NIVEN NUMBERS

@inproceedings{Horadam1988APA, title={A PARTIAL ASYMPTOTIC FORMULA FOR THE NIVEN NUMBERS}, author={A. F. Horadam and J. C. Turner and C. Cooper and R. E. Kennedy}, year={1988} }

A Niven number is a positive integer that is divisible by its digital sum. That is, if n is an integer and s(n) denotes the digital sum of n, then n is a Niven number if and only if sin) is a factor of n. where Nix) denotes the number of Niven numbers less than x. This limit, if it exists 5 is called the "natural density" of N. It was proven in [3] that the natural density of the set of Niven numbers is zero, and in [4] a search for an asymptotic formula for N(x) was undertaken. That is, does… Expand

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" Digital Sums 3 Niven Numbers and Natural Density

- 1982