We analyses the 3n + 1 dynamical system in terms of both the fundamental and emerging properties of the quivers it generates over 2N + 1. In particular, we offer a first description of the endomorphism underlying the structure of the quiver known among popular mathematics circles as the "Collatz Seaweed" and describe its generative rule. We then establish some fundamental properties of other endomorphisms generated by the 3n+1 dynamical system, mapping this quiver onto proper subsets of 2N + 1 composed of the nodes we prove any Collatz orbit must intersect (which we call "Determinants") and draw interesting conclusions from those properties, allowing us to claim a result strictly superior to the one of Tao (2019) on the Collatz conjecture.