The lumen number depends on the optic. A better question is needed lux, then how much juice you allow your self to spend which then allow you to widen the optic (hotspot and corona). The more electrons you have to spend, the more flood you can afford to buy. Detail vision, is concentrated in the center of vision (say, 15 ish degrees, from my research).
I have concluded 1000 candela (center brightness lux at 1 meter) is minimal for arm length work (I like and need good detail; however, you may be happy with less if you are more interested in movement than detail, contrast and color.). This, 1000 candela, we achieved in 2005 with the lux1 (and good reflector) and a good sized battery source. At double this distance, 4x the lux (called the inverse square law). At triple arm length (rougly 9 foot), 9x this lux, and 16x this lux for 12 foot. Beyond this, yes you can see, but I would not stake my reputation on seeing everything one see's in the daytime.
Personally, I won't mess with lights that cannot produce a steady amount of light for at least 8 hours. By doing this, I can use the lights on a daily basis, and thus, will have them charged and within arms reach in an emergency. For decades I had 1-2 running lights, but every emergency, the batteries were dead, the unit was corroded, or I could not remember where I had them stored. Since the high powered leds hit stores in 2005, and the advent of lights that run 8 hours (you must mod out the batter supply of cheaper 3 AAA lights), I am never without light.