The number 16809
16809 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 431. Divisors (8): 1, 3, 13, 39, 431, 1293, 5603, 16809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16809 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16809 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 16809 itself that is 7383, so 16809 is deficient (7383 is less than 16809). Euler's totient φ(16809) = 10320 numbers up to 16809 share no factor with it.
- 4
The digits of 16809 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16809 = 3 \times 13 \times 431 \]
16809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 10320 |
| Square | 282542481 |
| Cube | 4749256563129 |
| Square root | 129.649528 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6809 × |
16809 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and nine |
| Binary (base 2) | 100000110101001 |
| Octal (base 8) | 40651 |
| Hexadecimal (base 16) | 41A9 |
| Base 3 | 212001120 |
| As time | 16809 seconds = 4 h 40 min 9 s |
Is 16809 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 (16809 ÷ 3 = 5603) | 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 2) | 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 | No (remainder 6) | 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 1) | 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 16809 a prime number?
No. 16809 = 3 × 13 × 431, so it is divisible by 3.
What are the factors of 16809?
1, 3, 13, 39, 431, 1293, 5603, 16809.
What is 16809 in binary?
100000110101001 (hexadecimal 41A9, octal 40651).
What is the square root of 16809?
About 129.6495.
Is 16809 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16809?
It is a composite number with 8 divisors.