"Hurt Feelings" & "Come Back to Earth" also debut.

Following the first full tracking week after Mac Miller's death on Friday, Sept. 7, the late hip-hop star debuts three songs on the Billboard Hot 100 chart (dated Sept. 22).

All three entries are from his most recent album, Swimming, which vaults from No. 71 to No. 6 on the Billboard 200 chart (where it debuted and peaked at No. 3 in August).

"Self Care" debuts at No. 33 on the Hot 100, becoming Miller's highest-charting hit as a lead artist and second-highest entry overall. Ariana Grande's "The Way," featuring Miller, reached No. 9 in 2013.

"Care" starts with 18.4 million U.S. streams (up 625 percent week-over-week, according to Nielsen Music) and sold 8,000 downloads (up 3,660 percent), in the tracking week ending Sept. 13, as the track bows at No. 15 on the Streaming Songs chart and No. 32 on Digital Song Sales.

Plus, Miller's "Hurt Feelings" and "Come Back to Earth" enter the Hot 100 at Nos. 70 and 91, respectively. "Feelings" gained by 596 percent to 11.2 million U.S. streams, while "Earth" is up 724 percent to 8.6 million.

All three tracks concurrently debut on the Hot R&B/Hip-Hop Songs chart, at Nos. 18 (a new career best), 29 and 41, respectively, while two additional songs, "2009" and "Ladders," both also from Swimming, begin at Nos. 49 and 50, respectively.

As previously reported, seven Miller titles appear on the Billboard 200. Below Swimming at No. 6 are Best Day Ever (a debut at No. 26); GO:OD AM (No. 32, re-entry); Blue Slide Park (No. 49, re-entry); The Divine Feminine (No. 50, re-entry); Watching Movies With the Sound Off (No. 59, re-entry); and, Macadelic (No. 106, re-entry).