The number 10809
10809 is a composite number with 6 divisors. Its prime factorisation is × 1201. Divisors (6): 1, 3, 9, 1201, 3603, 10809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10809 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10809 is composite. Its prime factorisation is
- 3
The divisors add up to 15626; without 10809 itself that is 4817, so 10809 is deficient (4817 is less than 10809). Euler's totient φ(10809) = 7200 numbers up to 10809 share no factor with it.
- 4
The digits of 10809 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10809 = 3^{2} \times 1201 \]10809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15626 |
| Euler totient φ(n) | 7200 |
| Square | 116834481 |
| Cube | 1262863905129 |
| Square root | 103.966341 (= 3√1201) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0809 × |
10809 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and nine |
| Binary (base 2) | 10101000111001 |
| Octal (base 8) | 25071 |
| Hexadecimal (base 16) | 2A39 |
| Base 3 | 112211100 |
| As time | 10809 seconds = 3 h 0 min 9 s |
Is 10809 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10809 ÷ 3 = 3603) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10809 ÷ 9 = 1201) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10809 a prime number?
No. 10809 = × 1201, so it is divisible by 3.
What are the factors of 10809?
1, 3, 9, 1201, 3603, 10809.
What is 10809 in binary?
10101000111001 (hexadecimal 2A39, octal 25071).
What is the square root of 10809?
About 103.9663, exactly 3√1201.
Is 10809 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10809?
It is a composite number with 6 divisors.