Prime Number Patterns

radius

8

n = 12,

σ

1

= 1 + 2 + 3 + 4 + 6 + 12 = 28

σ

1

- n = 16 (abundant)

Move your pointer across the graphic. The prime numbers are those that are only intersected by two curves; a composite number yields curves with semicircles whose diameters are the divisors of the number.

The plot label shows the integer, its divisors, the divisor function, the aliquot sum, and whether the integer is deficient, perfect, or abundant.