This work studies the accelerated Collatz map acting on odd integers viaT* (n) = (3n + 1) / 2^ν2 (3n + 1). Using explicit 2-adic valuation analysis, we prove deterministic finite-stepdescent results. In particular, every odd integer decreases within at mostthree accelerated steps. One-step, two-step, and three-step descent arecharacterized by residue classes modulo powers of two. The results are elementary, fully rigorous, and independent of probabilisticassumptions. Exhaustive numerical verification up to 10⁷ confirms thetheoretical predictions. The paper establishes a structural, valuation-drivenframework for understanding descent in Collatz dynamics.
Surya Sekhar Roy (Tue,) studied this question.