Calypso offers immortality to Odysseus
Money
She offers Odysseus immortality.
Odysseus stays with Calypso [The Hider] on Ogygia for seven years.
17 days
She thinks Odysseus will forget about his home and family and stay with her.
In the Odyssey, Odysseus stays on the Calypso's island of Ogygia for 7 years. Other accounts say 5 years, while the story by Hyginus states one.He also spent a year on Circe's island Aeaea.
He stays so long because of her sexual seduction and he has not ship to leave on and Calypso will not help build him a ship. Until Zeus convinces her to allow him to leave that is when she supplies Odysseus with thing to make a raft but she doesn't help him build it.
He is the sun god, his island is Thrinacia on which Odysseus' men eat Hyperion's sacred cattle. This causes Hyperion to ask Zeus to shipwreck Odysseus, and so he is washed up on Calypso's island, where he stays for 7 years.
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Odysseus stays on Circe's island for one year.In a movie version, he stays for what seems like 7 days, but is in reality 7 years.
Circe is a sorceress, she enchants Odysseus and turns men into pigs, although she doesn't do this to Odysseus (lucky man) she does it to his remaining soldiers. So it is the enchantment that keeps him on the island,
stays and listen to him