Thank you. I tend to think it will be problematic though the moment I say Collatz in the title. They will assume there i sno way, and moreover that it was done by simply eliminating the division step, and then making the jump to representing the odd numbers as sums of exponents of two added to one, will result in them dropping it.I could be wrong, but I do not think that the journals look at who the author is but rather they look at the paper. If they recently printed many papers in a particular area then they probably will not print another one in that same area. It also has to do with the area that the editors likes.
Of course, if you are extremely famous then you can get almost anything published. I do not think that any journal would decide not to print a paper by Andrew Wiles.
Submit your paper to the appropriate journals and see what happens.
The math is sound, ...