The number 11424
11424 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 17. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34 … 11424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11424: a Harshad number: divisible by its digit sum 12.
- 2
11424 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 11424 itself that is 24864, so 11424 is abundant (24864 is more than 11424). Euler's totient φ(11424) = 3072 numbers up to 11424 share no factor with it.
- 4
The digits of 11424 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11424 = 2^{5} \times 3 \times 7 \times 17 \]11424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 3072 |
| Square | 130507776 |
| Cube | 1490920833024 |
| Square root | 106.883114 (= 4√714) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1424 × |
11424 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and twenty-four |
| Binary (base 2) | 10110010100000 |
| Octal (base 8) | 26240 |
| Hexadecimal (base 16) | 2CA0 |
| Base 3 | 120200010 |
| As time | 11424 seconds = 3 h 10 min 24 s |
Is 11424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11424 ÷ 2 = 5712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11424 ÷ 3 = 3808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11424 ÷ 4 = 2856) | 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 (11424 ÷ 6 = 1904) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11424 ÷ 7 = 1632) | 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 (11424 ÷ 8 = 1428) | 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 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 (11424 ÷ 12 = 952) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11424 a prime number?
No. 11424 = × 3 × 7 × 17, so it is divisible by 2.
What are the factors of 11424?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168, 204, 224, 238, 272, 336, 357, 408, 476, 544, 672, 714, 816, 952, 1428, 1632, 1904, 2856, 3808, 5712, 11424.
What is 11424 in binary?
10110010100000 (hexadecimal 2CA0, octal 26240).
What is the square root of 11424?
About 106.8831, exactly 4√714.
Is 11424 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 11424?
11424 is a Harshad number: divisible by its digit sum 12.