Hibernation mode will save the contents of the RAM to non-volatile memory for the duration of the powered down state. Sleep mode however, draws minimal power to keep the RAM from clearing.
Hibernation (also known as suspend to disk, or Safe Sleep on Macintosh computers) in computing is powering down a computer while retaining its state. When hibernation begins, the computer saves the contents of its random access memory (RAM) to a hard disk or other non-volatile storage. When the computer is turned on the RAM is restored and the computer is exactly as it was before entering hibernation. Hibernation was first implemented in 1992 and patented by Compaq Computer Corporation in Houston, Texas. As of 2020, Microsoft's Windows 10 employs a type of hibernation by default when shutting down.