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La Microestructura de las Trayectorias de Collatz: Cadenas Impares, Patrones Binarios y Mapas Terminales de Bloques

We analyze the microstructure of Collatz trajectories through the novel concept of oddchains, revealing the fundamental identity ℓ(O) = ν2 (O + 1) that connects chain lengthto binary representation. We introduce structural last evens Lj = 2Oj+1 , prove localfiniteness and bounds, and develop a terminal block map τ that compresses orbits whilepreserving
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