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4K is 2160p, exactly double 1080p in the vertical. In the horizontal, it’s 1920 for 1080p vs 3840 for 2160p (colloquially known as 4K). The industry naming convention is not consistent.

Your both wrong, conflating standards from the world of cinema and broadcast.

4k (a cinema format): 4096x2160

2k (a cinema format): 2048x1080

UHD (a broadcast format): 3840x2160

HD (a broadcast format): 1920x1080

UHD also includes 7680x4320 *HD also includes 1280x720

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