The Titanic sank at approximately 2.20am on Monday 15 April 1912, some victim's watches stopped at around this time when they entered the water.
The collision, sinking time and many other times related to the sinking are a matter for intense discussion. See Titanic Time Altered, Titanic's Time Enigmas, Sinking of SS Titanic: A Chronology and this discussion thread among many others.
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