200k encounters in 46 days is 4,347 encounters a day everyday. You claim to have done x3 hordes for 150k of your encounters which with excellent optimization is 720 encounters an hour. For those 150k x3 horde encounters you spent about 208.3 hours if you were optimal. I'll assume the other 50k encounter were 5x hordes which is about 1200 encounters an hour with excellent optimization which is equal to 41.6 hours.
So you played without breaks for 250 hours in 46 days. Which means you were non stop shiny hunting for 5.43 hours a day everyday for 46 days assuming you did the other 50k encounters at 5x hordes.
Are you sure youre 200k deep? Or are you playing on average over 5 hours a day everyday?