2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124469We show that for most choices of an initial seed $x_0$, the sequence of the first $N$ iterates of $x_0$ under the $3x+1$ map approximately satisfies Benford's law.16 pages; revised proof of Prop. 3.3Number TheoryProbabilitytext