I still consider the Hot 100 broken since 2013 (someone pointed out on here it started breaking even earlier, but 2013 is my hard cut of 'definitely broken').
It was Feb 2013 when Macklemore got unceremoniously kicked out of #1 by that horrible "Harlem Shake"
concurrent with the addition of U.S. YouTube video streaming data to the chart simply because people were streaming the song because it was so talked about.
Wasn't it a clue that a song that had been out for a while suddenly went from 'not on the 100' to 'the #1 song' that the new methodology was stupid??
So here is the data about 'most weeks on the Hot 100' that I personally consider valid:
Weeks on Chart, Title, Artist, Peak Pos., Peak Date
76, "I'm Yours," Jason Mraz, No. 6, Sept. 20, 2008
69, "How Do I Live," LeAnn Rimes, No. 2, Dec. 13, 1997
68, "Party Rock Anthem," LMFAO feat. Lauren Bennett & GoonRock, No. 1 (six weeks), July 16, 2011
65, "Rolling in the Deep," Adele, No. 1 (seven weeks), May 21, 2011
65, "You Were Meant for Me"/"Foolish Games," Jewel, No. 2, April 19, 1997
64, "Before He Cheats," Carrie Underwood, No. 8, June 2, 2007
62, "Ho Hey," The Lumineers, No. 3, Dec. 29, 2012
62, "You and Me," Lifehouse, No. 5, Aug. 27, 2005
60, "Need You Now," Lady Antebellum, No. 2, March 20, 2010
60, "Macarena (Bayside Boys Mix)," Los Del Rio, No. 1 (14 weeks), Aug. 3, 1996
59, "Somebody That I Used to Know," Gotye feat. Kimbra, No. 1 (eight weeks), April 28, 2012
58, "How to Save a Life," The Fray, No. 3, Oct. 7, 2006
58, "Smooth," Santana feat. Rob Thomas, No. 1 (12 weeks), Oct. 23, 1999
57, "Lights," Ellie Goulding, No. 2, Aug. 18, 2012
57, "Use Somebody," Kings Of Leon, No. 4, Sept. 12, 2009
57, "Higher," Creed, No. 7, July 22, 2000