General fact: 5844 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Mathematical fact: 5844 is the number of ways to stack 34 boxes in a line so that each box lies on the table or on a box next to 2 boxes.
Trivia: 5844 is an uninteresting number.
Historical date: December 31st is the day in 1999 that Boris Yeltsin, the first president of Russia, resigns as President of Russia, leaving Prime Minister Vladimir Putin as the acting President.