On the day the Kings traipsed the Stanley Cup around Los Angeles for their championship parade, Brad Richards went to the Rangers practice facility and was the first player to meet his coach for an exit interview.

The Blueshirts and Richards are in the midst of what is very likely is the middle stages of a divorce, one now strangely messy, considering how much he contributed to his team off the ice — and how little he contributed on it, especially in the five-game loss to the Kings in the Stanley Cup finals.

Yet Richards’ annual $6.67 million salary-cap hit through 2019-20 — and the subsequent cap-recapture charges the team would endure if he retired early — would horribly handcuff the team financially, and makes the 34-year-old forward the most likely target for the team’s final amnesty buyout, thus wiping his cap hit from the books.

“It’s still painful to lose in the Stanley Cup final,” coach Alain Vigneault said on Monday, just three days removed from a 3-2 double-overtime defeat to the Kings in L.A. that ended the season.

“But Brad is an experienced guy that knows that we’ve got some decisions to make. They’re not easy. We’re looking at different things, and he’s going to be a pro and he’s going to wait until we make up our mind.”

Soon after March 5, Richards was hardly spoken or written about without his name being modified by the moniker of “de facto captain,” a role he embraced in the wake of the trade that sent the actual captain, Ryan Callahan, as part of a package to the Lightning in exchange for Martin St. Louis. After both wins and losses, in both the regular season and postseason, Richards was upright in speaking to the media, always forthright and honest and at times even cutting in his self-assessment.