What disguise does Odysseus finally assume with Athena's help? book 13 in the Odyssey

Athena uses a wand to transform Odysseus into an old
beggar. What she doesn't transform, however, is a large scar on his leg that was the
result of a hunting accident when he was a boy. The fact that Odysseus is disguised
allows him to move around Ithaca (and his own palace) without being recognized. His
scar, on the other hand, is a device by which he is recognized and identified more than
once. Also, Odysseus is transformed back into his "normal" self more than once in the
last half of the poem. It is fun to try to keep track of the transformations and try to
figure out where it all ends up. Finally, this is all a part of a larger disguise motif
in the poem. Another example that comes to find is when Odysseus engineers the escape of
his men from the Cyclops' cave by hiding them under some sheep.