I was just thinking about this in my head, I am curious as to whether I am thinking about this correctly, or if there is a flaw in my thinking (especially about infinity)
My conjecture is that the set of all numbers that are multiples of at least 3 natural numbers (1, themselves, and one other number) must be asymptotically 100% even, given that odd numbers require all multiples to be odd. So as the number of multiples extends towards infinity, numbers become more and more even, and thus this set would be asymptotically 100% even. I wanted to post this question here to see if there are flaws in my thinking or if my understanding of infinity (which I know can be tricky) isn't correct
This is not true. As numbers get large primes get rare. The natural density of even composites is $50\%$. The natural density of odd composites goes to $50\%$ so the natural densities are equal.