The number 12243
12243 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 53. Divisors (16): 1, 3, 7, 11, 21, 33, 53, 77, 159, 231, 371, 583, 1113, 1749, 4081, 12243.
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How to work it out
- 1
12243 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12243 is composite. Its prime factorisation is
- 3
The divisors add up to 20736; without 12243 itself that is 8493, so 12243 is deficient (8493 is less than 12243). Euler's totient φ(12243) = 6240 numbers up to 12243 share no factor with it.
- 4
The digits of 12243 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12243 = 3 \times 7 \times 11 \times 53 \]
12243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20736 |
| Euler totient φ(n) | 6240 |
| Square | 149891049 |
| Cube | 1835116112907 |
| Square root | 110.648091 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.2243 × |
12243 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and forty-three |
| Binary (base 2) | 10111111010011 |
| Octal (base 8) | 27723 |
| Hexadecimal (base 16) | 2FD3 |
| Base 3 | 121210110 |
| As time | 12243 seconds = 3 h 24 min 3 s |
Is 12243 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 (12243 ÷ 3 = 4081) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (12243 ÷ 7 = 1749) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (12243 ÷ 11 = 1113) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12243 a prime number?
No. 12243 = 3 × 7 × 11 × 53, so it is divisible by 3.
What are the factors of 12243?
1, 3, 7, 11, 21, 33, 53, 77, 159, 231, 371, 583, 1113, 1749, 4081, 12243.
What is 12243 in binary?
10111111010011 (hexadecimal 2FD3, octal 27723).
What is the square root of 12243?
About 110.6481.
Is 12243 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12243?
It is a composite number with 16 divisors.