De Koninck, J.-M.; Doyon, N.; Letendre, P. On the distribution of the number of digits needed to write the factorization of an integer. (English) Zbl 1174.11072 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 28, 197-212 (2008). Let \(F_g(n)\) be the number of digits needed to write the prime factorization of \(n\) in base \(g\). The main result states that the central distribution of the function \(F_g(n)\) is Gaussian. An upper bound and a lower bound for the valves of \(F_g(n)\) are given in terms of \(n\), \(g\) and the number \(\omega(n)\) of distinct prime factors of \(n\). Reviewer: Stelian Mihalas (Timisoara) Cited in 1 Review MSC: 11N37 Asymptotic results on arithmetic functions 11A63 Radix representation; digital problems Keywords:prime factorization; economical numbers; central distribution PDFBibTeX XMLCite \textit{J. M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 28, 197--212 (2008; Zbl 1174.11072)