5 is the natural number that proceeds 4 and precedes 6.
In mathematics
- It is a Fermat composite number.
- A number is divisible by 5 if the last digit is 0 or 5 in base-10.
- 5 is also the 4th number in the Fibonacci sequence.
- It is the only known odd untouchable number.
- Base-5 in p-adic is the first base to support imaginary numbers as a real representation, as the base-5 p-adic for -1 (...4444) has a square root.
Geometry
- A five-sided shape is called a pentagon.
- The minimum number of cells (3D boundaries) in a 4-dimensional shape is five.
- This shape is also one of the six 4-dimensional platonic solids.
Algebra
5 is the value of the central cell of the first non-trivial normal magic square, called the Luoshu square.
Basic calculations
| - | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 | 65 | 70 | 75 | 80 | 85 | 90 | 95 | 100 |
| - | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 2.5 | 1.66666666667 | 1.25 | 1 | 0.83333333333 | 0.71428571428 | 0.625 | 0.55555555555 | 0.5 | |
| 0.2 | 0.4 | 0.6 | 0.8 | 1 | 1.2 | 1.4 | 1.6 | 1.8 | 2 |
| - | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 5x | 5 | 25 | 125 | 625 | 3,125 | 15,625 | 78,125 | 390,625 | 1,953,125 | 9,765,625 |
| x5 | 1 | 32 | 243 | 1,024 | 7,776 | 16,807 | 32,768 | 59,049 | 10,000 |
Significance
- Humans have 5 fingers.
- Humans have 5 toes.
- Most starfish have 5 legs.
- Blueberries have 5 points.
Bases
5's value is:
- 101 in Binary.
- 12 in Ternary.
- 11 in Quaternary.
- 10 in Quinary.
- 5 in Seximal+