No, the U6 numerator is Unemployed plus Marginally Attached plus Part Time for Economic Reasons.
Close....Discouraged are those who say they want to work, that they could have started a job last week if offered, had looked for work in the last year but not the last 4 weeks and whose reason for no longer looking is that they do not believe they be successful due to lack of jobs, lack of skill, education, or discrimination.
It's a very subjective number and the margin of error is something like +/- 12%.
Unemployed 11,777,000 marginally attached 2,582,000 and part time for economic reasons 8,226,000 gives 22,585,000 That's what is ued ins the U6. Who said retirees were included in the U6? and you realize of course that more people than just discouraged leave the labor force? You seem to be using the 2 interchangebly.
One million is the Total number or discouraged in June, not the number who became discouraged.