The number 12744
12744 is a composite number with 32 divisors. Its prime factorisation is × × 59. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 59, 72, 108 … 12744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12744: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
12744 is composite. Its prime factorisation is
- 3
The divisors add up to 36000; without 12744 itself that is 23256, so 12744 is abundant (23256 is more than 12744). Euler's totient φ(12744) = 4176 numbers up to 12744 share no factor with it.
- 4
The digits of 12744 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12744 = 2^{3} \times 3^{3} \times 59 \]12744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 36000 |
| Euler totient φ(n) | 4176 |
| Square | 162409536 |
| Cube | 2069747126784 |
| Square root | 112.889326 (= 6√354) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2744 × |
12744 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty-four |
| Binary (base 2) | 11000111001000 |
| Octal (base 8) | 30710 |
| Hexadecimal (base 16) | 31C8 |
| Base 3 | 122111000 |
| As time | 12744 seconds = 3 h 32 min 24 s |
Is 12744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12744 ÷ 2 = 6372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12744 ÷ 3 = 4248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12744 ÷ 4 = 3186) | 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 | Yes (12744 ÷ 6 = 2124) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (12744 ÷ 8 = 1593) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12744 ÷ 9 = 1416) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (12744 ÷ 12 = 1062) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12744 a prime number?
No. 12744 = × × 59, so it is divisible by 2.
What are the factors of 12744?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 59, 72, 108, 118, 177, 216, 236, 354, 472, 531, 708, 1062, 1416, 1593, 2124, 3186, 4248, 6372, 12744.
What is 12744 in binary?
11000111001000 (hexadecimal 31C8, octal 30710).
What is the square root of 12744?
About 112.8893, exactly 6√354.
Is 12744 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12744?
12744 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.