Girl and her oranges

A little girl sells oranges from door to door.

One day while on her rounds, she sold 1/2 an orange more than half her
oranges to the first customer. 

To the second customer, she sold 1/2 an
orange more than half of the remainder and to the third and

the last customer, she sold 1/2 an orange more than half she now had, leaving
her none.

Can you tell the number of oranges she originally had?

Oh, by the way, she never had to cut an orange.



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