What I'm calling the "Bachelor Socks Pattern".
Go out and buy multiple 6-in-one packs of the same socks (Most economical with black/blue business style socks).
Go all out and get like 8 packs @ ~$5 each. At $40 cost you replace all your socks with a single type and color and have a massive oversupply (about 3 weeks worth in the above calc, prob more than you need really).
No need to sort, just keep them in a big basket of socks, now you have endless matching socks never to be sorted again.
Put your other socks aside in a bag and recycle when your convinced it's working.
[I purchased so many after doing this for myself initially and then finding out the rest of the family were ALL cheekily wearing my socks as they all quietly found it easier to match one of my black pairs over finding exact matches for their socks from the sock basket]