Cops recovered the brass emblem with the TV icon from Trump's star at a home in the San Fernando Valley. Law enforcement sources tell us Otis had given it to a family member for safekeeping. He gave up the location during questioning.
As we first reported ... cops nabbed Otis Thursday morning in West Hollywood and he's being booked for felony vandalism. The Hollywood Chamber of Commerce says the star is worth $30,000.
As for Trump's nameplate -- it was mostly obliterated during Otis' attack, and he says he did not take the pieces.