Los Angeles has long enjoyed a reputation as a playground for the rich, but the handsome teenage prince who arrived nine years ago operated on a different level. He came from the Persian Gulf nation of Qatar on a private jet with a squad of servants, a bottomless natural gas fortune and the stated goal of a college education. He installed himself in the Beverly Wilshire, the hotel that “Pretty Woman” made famous, and embarked on a lifestyle that few undergraduates could imagine — luxury suites for Lakers games, lunch at the Ivy and regular excursions to gamble in Las Vegas. Classic stories from the Los Angeles Times’ 143-year archive He took the town with an entourage, a rotating collection of cousins and friends from back home, in a fleet of exotic sports cars, rubbing elbows with a flashy set that included Scott Disick of “Keeping Up With the Kardashians,” and announcing his exuberance in custom trucker hats emblazoned with his initials: KHK. Sheikh Khalifa bin Hamad bin Khalifa Al Thani, the son and, later, …