Six has a distinction that is arithmetical fact rather than interpretation: it is the first perfect number, equal to the sum of its own divisors, since one plus two plus three equals six, and it is also their product, one times two times three. The Greeks and the biblical commentators alike found meaning in this, and the six days of creation were read by Augustine as fitting because six is perfect in itself, complete before the world was complete. Six is the number of harmony, balance and completion, the hexagon that tiles the plane and builds the honeycomb, the two interlocking triangles of the six-pointed star joining opposites in equilibrium. From this comes its symbolism of union, service, care and the harmonious ordering of relationships.
In modern numerology six is the number of home, family, responsibility, nurture and love, the caretaker, the harmonious domestic centre. That character reading belongs to the early-twentieth-century American system; what is ancient and checkable is the mathematical perfection of six, which esoteric writing usually gestures at without stating the actual property.