There are no homeless people anywhere else in the state so the ones you see in Salt Lake are it.
Not all panhandlers are homeless. Most of the homeless in Salt Lake City seem to disappear at night. There are no massive homeless camps like you see in San Francisco, Portland and Seattle. A lot of the panhandlers in Salt Lake have houses and consider panhandling to be their day job. https://www.ksl.com/?sid=27782692