In this paper, we look at various arithmetic properties of the set of those positive integers whose sum of digits in a fixed base is a fixed positive integers . For example, we prove that such integers can have many prime factors, that they are not very smooth, and that most such integers have a large prime factor dividing the value of their Euler function.
Cite this article
Florian Luca, Arithmetic properties of positive integers with fixed digit sum. Rev. Mat. Iberoam. 22 (2006), no. 2, pp. 369–412DOI 10.4171/RMI/461