Formula
Place 1 at top middle. Move up-right with wrap; if occupied, move down instead. Magic sum=n(n²+1)/2.
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Siamese construction for odd orders only. Uses every integer from 1 through n² exactly once.
Example Calculation
Example inputs
- Odd order: 3
Odd order = 3. Primary result: 15.
Frequently asked questions
How do I use this calculator?
Enter odd order. The result updates automatically. Use Reset to restore the example values.
What method does it use?
Place 1 at top middle. Move up-right with wrap; if occupied, move down instead. Magic sum=n(n²+1)/2.. Siamese construction for odd orders only. Uses every integer from 1 through n² exactly once.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.