The pair were photographed stumbling along a pavement at around 4am on their way home from a night out in London.
They apparently stopped a bus and attempted to rip off its windscreen wipers before X Factor staff caught them and "dragged them back to the hotel".
Lucy Spraggan has since tweeted: "Me and @RylanClark are partaking in a small vacation from the hotel for a few days. Our most sincere apologies for our #beerfear behaviour."
Clark added: "As me and @lspraggan are literally on the move, can't twitcam tonight but we will BOTH do it tomorrow night x."
The X Factor contestants moved into £500-a-night rooms at the 5-star Corinthia Hotel earlier this month ahead of the live shows.
Show creator Simon Cowell had reportedly wanted the acts to show their "wild side" and be like "rock stars" to boost ratings.
Digital Spy breakfast show - watch Anna Williamson discuss the day's biggest stories including Girls Aloud, X Factor and The Great British Bake Off:
Photo gallery - X Factor contestants arrive at the Corinthia Hotel: