DL 706 then DL 5830 at Atlanta
Denver → Atlanta → Hilton Head
Timetable, Atlanta time
18:01DL 706 from Denver at the gate
14:19DL 5830 to Hilton Head leaves the gate
20 h 18 apart on the timetable, overnight
DL 5830 leaves 20 h 18 after DL 706 arrives on the timetable: more than half a day, so not a connection we count.