Number 45

[Frank]

If you count draw 2066 as the 'reset' point for the UK lottery, since the 659 began there, then the cycle length for all 59 balls to be drawn was 66 draws. This compares with the theoretical average of 37 draws and the maximum expected period of 68 draws found under test conditions over 6000 test draws.
Interesting to note that if you take the last appearance of ball 45 (draw 2063) and count from 2064 as the start point - counting appearances of balls, its absence was 68 draws, exactly matching my maximum expected absence.