The number 11744
11744 is a composite number with 12 divisors. Its prime factorisation is × 367. Divisors (12): 1, 2, 4, 8, 16, 32, 367, 734, 1468, 2936, 5872, 11744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11744 is composite. Its prime factorisation is
- 3
The divisors add up to 23184; without 11744 itself that is 11440, so 11744 is deficient (11440 is less than 11744). Euler's totient φ(11744) = 5856 numbers up to 11744 share no factor with it.
- 4
The digits of 11744 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11744 = 2^{5} \times 367 \]11744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23184 |
| Euler totient φ(n) | 5856 |
| Square | 137921536 |
| Cube | 1619750518784 |
| Square root | 108.369737 (= 4√734) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1744 × |
11744 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and forty-four |
| Binary (base 2) | 10110111100000 |
| Octal (base 8) | 26740 |
| Hexadecimal (base 16) | 2DE0 |
| Base 3 | 121002222 |
| As time | 11744 seconds = 3 h 15 min 44 s |
Is 11744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11744 ÷ 2 = 5872) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11744 ÷ 4 = 2936) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (11744 ÷ 8 = 1468) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11744 a prime number?
No. 11744 = × 367, so it is divisible by 2.
What are the factors of 11744?
1, 2, 4, 8, 16, 32, 367, 734, 1468, 2936, 5872, 11744.
What is 11744 in binary?
10110111100000 (hexadecimal 2DE0, octal 26740).
What is the square root of 11744?
About 108.3697, exactly 4√734.
Is 11744 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 11744?
It is a composite number with 12 divisors.