I point to literature that states that apical dendrites arbors (inputs) span upwards of 0.5 mm.
The literature also states that columns are spaced about 30 μm apart.
This works out to the dendrites from any given cell passing by upwards of 8 columns in any direction.
Stated another way - roughly 240 columns are within the average reach of the cell.
These axons can also span all the way to other maps and there connect to the same 240 or so column targets in the distant map.
In a different post I show that the cells in layer II/III have reciprocal axon connections that are likely to be the mechanism for forming hexagonal activation patterns.
The axons (outputs) from a cell body can reach a much longer distance in the same (local) map but the tend to connect to inhibitory inter-neuron cells and act to suppress competing activity and enforce sparse activation.