What is the next number in this sequence?
2, 3, 6, 7, 9, 18, 25, 27, 54, 73, 97, 129, 171, 231, 313, 327, 649, 703, ... ?
Hint 1
Examine each number for 2's. It's
Ok to play by the rules, But
See that it's fun for 71, and please
Deny high 5's to fools
Hint 2
There's no proof to be done
You can't hit a home run
You're weird, so just take a triple
Maybe one more
Til you hit the floor
Call it, for friendshipz, a cripple.
This is my first puzzle and I'm new to PSE, so feedback is much appreciated!