What does d(n) mean?
d(n) is the count of whole numbers that divide n exactly. For 12 the divisors are 1,2,3,4,6,12, so d(12) = 6.
// maths › Sequences & Patterns
Divisor Surface
A surface whose height is the number of divisors d(n), laid on a modular grid so the structure of factor-rich numbers shows.
height = number of divisors d(n)
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Frequently asked questions
Why do some columns spike?
Highly composite numbers (like 12, 24, 60) have many divisors, so they stand tall; primes have only two and stay low.
How is this linked to primes?
A number's divisor count is set by its prime factorisation, so this picture is the flip side of the prime spiral.
Where is divisor structure used?
In cryptography, error-correcting codes, gear ratios and scheduling - anywhere factors and cycles matter.
Why 60 seconds and 360 degrees?
Both 60 and 360 are divisor-rich, so they split evenly many ways - handy for clocks, angles and calendars.