The number 11824
11824 is a composite number with 10 divisors. Its prime factorisation is × 739. Divisors (10): 1, 2, 4, 8, 16, 739, 1478, 2956, 5912, 11824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11824: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
11824 is composite. Its prime factorisation is
- 3
The divisors add up to 22940; without 11824 itself that is 11116, so 11824 is deficient (11116 is less than 11824). Euler's totient φ(11824) = 5904 numbers up to 11824 share no factor with it.
- 4
The digits of 11824 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11824 = 2^{4} \times 739 \]11824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 22940 |
| Euler totient φ(n) | 5904 |
| Square | 139806976 |
| Cube | 1653077684224 |
| Square root | 108.738218 (= 4√739) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 24 |
| Scientific notation | 1.1824 × |
11824 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and twenty-four |
| Binary (base 2) | 10111000110000 |
| Octal (base 8) | 27060 |
| Hexadecimal (base 16) | 2E30 |
| Base 3 | 121012221 |
| As time | 11824 seconds = 3 h 17 min 4 s |
Is 11824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11824 ÷ 2 = 5912) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11824 ÷ 4 = 2956) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (11824 ÷ 8 = 1478) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11824 a prime number?
No. 11824 = × 739, so it is divisible by 2.
What are the factors of 11824?
1, 2, 4, 8, 16, 739, 1478, 2956, 5912, 11824.
What is 11824 in binary?
10111000110000 (hexadecimal 2E30, octal 27060).
What is the square root of 11824?
About 108.7382, exactly 4√739.
Is 11824 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11824?
11824 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.