Ron Guth:
The 1826 Quarter Eagle is a very rare date, created by an initially low mintage, followed by the destruction of most examples in subsequent meltings whenever the gold price exceeded the face value. The majority of the survivors are in relativrly high grade (Extremely Fine or better), indicating that most were saved by collectors. Only one Mint State example is known, that being the Garrett Collection piece sold in 1980 for a record price (then and still) of $75,000.
How many 1826 Quarter Eagles exist today? A survey of the auction appearances over the past twenty years results in at least 17 demonstrably different examples. Thus, a guesstimate in the range of 30-35 survivors seems reasonable.