Dunno. My granddad was a mathematician and my mother was a mathematician (and my father was a mathematician and a computer scientist, but they divorced). Still the only “math immersion” I got was Perelman books, scattered around our apartment, like Physics for Entertainment and Algebra for Fun:
https://www.amazon.com/s?i=stripbooks&rh=p_27%3AYakov+Perelm...
They are both challenging and entertaining and very simple - on the surface. Some were written in 1913 or so. Each American family can get such an “immersion” for their kids - total is less than $100 I guess. But you also should turn off TV and computers, so probably would not work.
Also my daughter took major in mathematics - and I like my parents had no time to immerse her in anything - adults work, children play with fun but impractical problems.
I would rather guess that it is some genetic defect in the brain causing a person to prefer playing with abstract problems to booze, smoke and sexual gratification. But I doubt that having such a guess is allowed.