A group of friends are standing in a circle, playing a game. They proceed around the circle, chanting a rhyme and pointing at the next person (clockwise) on each word. When the rhyme finishes whoever is being pointed at leaves the circle. They then start again, pointing where they left off, and the game continues until only one person is left. He/She is declared the winner.

For example, suppose there are six friends (numbered 1 to 6) standing around the circle and the rhyme is "Eenee, Meenee, Mainee, Mo!". They begin with player number 1. The first person to leave the circle is number 4, followed by 2 then 1, 3 and 6. Number 5 is left (draw it out to see it first hand).

Using this pattern, what number player, beginning with player 1, is the last person standing in a game played with 100,000 players?