Number Theory

    

Unbounded Digit Expansion and Infinite Attractor Structure in a Deterministic Integer Map

Authors: Christoper Mututu

We investigate a previously undocumented integer transformation whose explosive behavior places it beyond the known extremes of Collatz-type dynamics. The system operates by (1) squaring each digit of an integer and concatenating the results, then (2) repeatedly compressing the expanded sequence by summing every consecutive triplet of digits whenever the total length remains divisible by three. This deceptively elementary process generates combinatorial shockwaves: numerical structures routinely balloon to hundreds or thousands of digits before undergoing catastrophic collapse into a microscopic attractor set. [etc.]

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[v1] 2026-03-03 21:28:10

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