Syracuse descent for odd numbers between 906576 and 908575

Let $T$ be the Syracuse map, sending $n$ to the odd part of $3n+1$. For every odd $m$ with $906576 \le m \le 908575$, some iterate of $T$ falls strictly below $m$.

This is a descent statement rather than a convergence statement, which is the strength cycle exclusion needs: the minimum of a nontrivial cycle can never descend. Each orbit is followed only until its first drop below $906576$, and the residues $m \equiv 1 \pmod 4$ are handled uniformly, since $4 \mid 3m+1$ gives $T(m) \le (3m+1)/4 < m$ in one step.

This is a half-range, introduced because the combined range $[904575, 908575]$ exceeded the verifier's token-scanner budget even though it was within the source-size limit.