Further to my note – earlier editions of Machinerys Handbook have more practical info for rivets.
I am looking in the 9th edition from 1937:
Length and proportions of Rivets
In order to form the head and fill the clearance space in the rivet hole,
the rivet should have a length in excess of the thickness of the plate equal about three-fourths the diameter for countersunk head , and from
1.3 to 1.7 times the diameter for ordinary riveting.
See table rivet lenghths for forming round or countersunk.
( table starts at 1/2″ )
so 1.5 is a good guide as stated by other posters.