The number 13209
13209 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 37. Divisors (16): 1, 3, 7, 17, 21, 37, 51, 111, 119, 259, 357, 629, 777, 1887, 4403, 13209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13209 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13209 is composite. Its prime factorisation is
- 3
The divisors add up to 21888; without 13209 itself that is 8679, so 13209 is deficient (8679 is less than 13209). Euler's totient φ(13209) = 6912 numbers up to 13209 share no factor with it.
- 4
The digits of 13209 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13209 = 3 \times 7 \times 17 \times 37 \]
13209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21888 |
| Euler totient φ(n) | 6912 |
| Square | 174477681 |
| Cube | 2304675688329 |
| Square root | 114.930414 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3209 × |
13209 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and nine |
| Binary (base 2) | 11001110011001 |
| Octal (base 8) | 31631 |
| Hexadecimal (base 16) | 3399 |
| Base 3 | 200010020 |
| As time | 13209 seconds = 3 h 40 min 9 s |
Is 13209 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 (13209 ÷ 3 = 4403) | 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 | Yes (13209 ÷ 7 = 1887) | 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 9) | 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 13209 a prime number?
No. 13209 = 3 × 7 × 17 × 37, so it is divisible by 3.
What are the factors of 13209?
1, 3, 7, 17, 21, 37, 51, 111, 119, 259, 357, 629, 777, 1887, 4403, 13209.
What is 13209 in binary?
11001110011001 (hexadecimal 3399, octal 31631).
What is the square root of 13209?
About 114.9304.
Is 13209 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13209?
It is a composite number with 16 divisors.