The most "amazing" (??) example of the Star Trek "47 convergence" is the respective ages of the actors who played the five captains.
Patrick Stewart and Scott Bakula were both 47 years old at the beginning of their respective series.
Avery Brooks and Kate Mulgrew were both 47 at the *end* of their series.
William Shatner was 47 years old at the time of the filming of TMP.