Strictly speaking, 4R is 4 inches by 6 inches; it is purely a physical dimension independent of pixels and resolution.
If you choose 300 dpi then it's 1200 pixels by 1800 pixels, but it's really arbitrary. If you choose 1 dpi, then 4R is 4 pixels by 6 pixels.
Of course, you can't send a (4x6=) 24 pixel picture to print at 4R, but you don't need 300dpi either. At around 120-150 dpi, the print still looks pretty ok.