@article{202407.0961, doi = {10.20944/preprints202407.0961.v2}, url = {https://doi.org/10.20944/preprints202407.0961.v2}, year = 2024, month = {July}, publisher = {Preprints}, author = {Gaurav Goyal}, title = {$2^m - 1$ as the Integer Formulation to Govern the Dynamics of Collatz-Type Sequences}, journal = {Preprints} }