The study of numbers generated in one way or another by dynamical systems is a classical, multifaceted field. A notorious gem in this field is the wide-spread, unexpected emergence of a particular logarithmic distribution, commonly referred to as Benford’s Law (BL). This talk will describe how dynamical systems may conform to BL, and what this in turn may tell about the dynamics in question. As one illustrative example, a characterization of BL in finite-dimensional linear systems, recently obtained in joint work with G. Eshun, will be discussed in some detail. While this result is quite general and implies, for instance, that such systems typically conform to BL in a very strong sense, it also raises intriguing new questions.