In the age of binge-watching, HBO’s hit series “The White Lotus” is demonstrating the power of weekly appointment viewing.

Most viewers streamed the darkly comic anthology series from Mike White, set each season at a new luxury resort where the worst instincts of the privileged guests are unleashed. But the weekly rollout of the latest eight-episode season on Sundays — the night that HBO established as the gathering point for prestige television in the pre-Netflix era — is turbocharging the show’s cultural impact and viewing levels.

Season 3 of “The White Lotus,” which premiered in February, averaged 19 million viewers across traditional TV and streaming platforms, according to Max (soon to be known again as HBO Max). About one-fifth of that audience, 4 million, watched on HBO proper the

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