We propose two conjectures which imply the Collatz conjecture. We give a numerical evidence for the second conjecture.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm133-2-5, author = {Sebastian Hebda}, title = {On the Collatz conjecture}, journal = {Colloquium Mathematicae}, volume = {131}, year = {2013}, pages = {189-195}, zbl = {1332.11033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm133-2-5} }
Sebastian Hebda. On the Collatz conjecture. Colloquium Mathematicae, Tome 131 (2013) pp. 189-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm133-2-5/