Sigma of n squared

Rule

Each term is: The number squared, then take the sum of the divisors

Known as: Sigma of n squared

The sum of the divisors of n squared.

The first 50 terms (starting from n=1) are:

1 7 13 31 31 91 57 127 121 217 133 403 183 399 403 511 307 847 381 961 741 931 553 1651 781 1281 1093 1767 871 2821 993 2047 1729 2149 1767 3751 1407 2667 2379 3937 1723 5187 1893 4123 3751 3871 2257 6643 2801 5467

Example

To get the value for n=12:

  • Square the number, giving 144.
  • Find the number's divisors, giving 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
  • Add these together, giving 403.

So the result is 403.

References

On-Line Encyclopedia of Integer Sequences