HN, originally called Startup News and later renamed to Hacker News, is a news board hosted by Y Combinator. Hence news.ycombinator.com. There's no hard rule saying that the official name of something has to be 1:1 match to its domain. And sure, YC could move HN to a separate domain, but why bother? Everyone's used to news.ycombinator.com.
Colloquially? "Hacker News" is its formal name.
It was also originally Startup News, and changed names about (iirc) 12 months later.