Finding 1
Most starting values collapse quickly, rare outliers stretch sequence lengths.
CollatzX Engine
Operator-grade verification engine for Collatz sequences — convergence testing, cycle detection, and statistical analysis across billions of iterations.
Findings — CollatzX
Representative outputs and diagnostics from CollatzX engine.
Core Engine Capabilities
Verification Tests
Ensures sequences behave as expected and identifies anomalies.
- Convergence to 1
- Cycle detection (up to 2^64)
- Stopping time distribution
- Parity pattern recognition
- Statistical convergence proofs
Performance Metrics
Optimized for speed, memory efficiency, and scalability.
- 100M+ numbers verified per second
- Maximum tested: 2^64+
- Sequence length analysis
- Memory-efficient trajectory storage
- Distributed verification
Research Applications
Enables exploration of Collatz sequences and number theory research.
- Stopping time prediction models
- Sequence pattern classification
- Generalized Collatz analysis
- Educational visualization tools
- Computational number theory studies