Abundant Numbers as Nature's Packing Problem: Prime Colour Geometry, Divisor Weights, and the Emergent Golden Spiral

We present a structural and visual investigation of abundant numbers — positive integers n for which σ(n) >2n — approached not through classical analytic number theory but through chromatic-positional analysis of divisor sets. Mapping the four smallest primes {2, 3, 5, 7} to the four CMYK primaries (Magenta, Cyan,Yellow, Key), with composite divisors receiving blended colours from their prime factorisations and higher prime powers producing progressively darker shades, we construct a colour model for divisor sets that reveals structure invisible to purely symbolic treatment. This approach extends the C235 prime colour systemof Li et al. (2023) — which mapped {2, 3, 5} to RGB — to four CMYK primaries and applies it specifically to the divisor sets of abundant numbers.