The number 12249
12249 is a composite number with 6 divisors. Its prime factorisation is × 1361. Divisors (6): 1, 3, 9, 1361, 4083, 12249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12249 is composite. Its prime factorisation is
- 3
The divisors add up to 17706; without 12249 itself that is 5457, so 12249 is deficient (5457 is less than 12249). Euler's totient φ(12249) = 8160 numbers up to 12249 share no factor with it.
- 4
The digits of 12249 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12249 = 3^{2} \times 1361 \]12249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17706 |
| Euler totient φ(n) | 8160 |
| Square | 150038001 |
| Cube | 1837815474249 |
| Square root | 110.675200 (= 3√1361) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 1.2249 × |
12249 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and forty-nine |
| Binary (base 2) | 10111111011001 |
| Octal (base 8) | 27731 |
| Hexadecimal (base 16) | 2FD9 |
| Base 3 | 121210200 |
| As time | 12249 seconds = 3 h 24 min 9 s |
Is 12249 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 (12249 ÷ 3 = 4083) | 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 6) | 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 (12249 ÷ 9 = 1361) | 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 6) | 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 12249 a prime number?
No. 12249 = × 1361, so it is divisible by 3.
What are the factors of 12249?
1, 3, 9, 1361, 4083, 12249.
What is 12249 in binary?
10111111011001 (hexadecimal 2FD9, octal 27731).
What is the square root of 12249?
About 110.6752, exactly 3√1361.
Is 12249 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12249?
It is a composite number with 6 divisors.