Novarro Showers walked away from his home in the 200 block of North Lake Street, between Beverly Boulevard and Temple Street in the Westlake district, around 3:30 p.m. Wednesday.
Detectives say Showers has the mental capacity of a 12-year-old and his verbal skills are limited.
Showers has shoulder-length dreadlocks, is 5 feet 5 inches tall and weighs 145 pounds. He was wearing a white T-shirt, blue boxer shorts and black and gold slippers.
Anyone with information about Showers' whereabouts was asked to call missing persons detectives at (213) 996-1800.