That proved my point, thanks!
It states that 10,000 people are turning 65 every day, not that 10,000 people are retiring every day. Not every person turning 65 is employed to begin with.
I admit you are right, so I recalculated using a different SSA source.
There were 32,273,145 retired workers, not including spouses and children, at the end of 2008 and 37,891,025 at the end of 2013, which comes to 5,617,880 retired workers over 5 years or 1,123,576 per year or 93,631 per month or 3,121 per day.
Social Security Beneficiary Statistics