This is not a native plant. It is native to Tibet and parts of China. It needs to be cut down to about a foot from the ground in the spring or late
winter as the branches winter-kill around here. The most common buddleias here in Connecticut (Zone 5-ish ) are the B. davidii hybrids. I have seen a bush on Cape Cod MA, which enjoys a milder climate, that was as tall as a cottage and covered thickly with blooms.
The genus is named by Carl Linnaeus, the Father of Botany, after Adam Buddle, an English botanist. This particular specie is named after Père Armand David, a French missionary to China and fine zoologist.

This plant lives up to its name! Butterflies just love it. I just can't sneak up on them fast enough with my camera!. This drawing was done by a teacher at our school back when we were just planning the garden. We have the bird bath and many plants chosen to attract butterflies now!
In our school garden we have the typical B. davidii sort, with its purple flowers each with the most charming bright orange eye. You must get close and really look at the flower panicle to appreciate the great color combination!
We also have a yellow Buddleia , "Honeycomb". I do not particularly like it as it seems washed out and wimpy compared to the vibrant B. davidii. They also seem much less robust, to the point I was sure one had bit the dust. I think it sent up one pathetic shoot. Also note, just to be fair, that our garden does NOT pamper anything. The soil is poorish, watering is spotty and the prevailing wind moves on through with little or no obstruction.