Tuesday.
4 January 2004 was a Sunday.
4 January 1958 was a Saturday.
4 January 1983 was a Tuesday.
4 January 1863 was a Sunday.
January 4, 2009 was a Sunday.
4 January 1952 was a Friday.
January 4 1986 was a Saturday.
January 4, 1964 was a Saturday.
January 4 2011 was a Tuesday.
July 4 2000 was on a Tuesday.
March 4 2000 was a Saturday.
August 4, 2000 was a Friday.