The number 11264
11264 is a composite number with 22 divisors. Its prime factorisation is × 11. Divisors (22): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512 … 11264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11264 is composite. Its prime factorisation is
- 3
The divisors add up to 24564; without 11264 itself that is 13300, so 11264 is abundant (13300 is more than 11264). Euler's totient φ(11264) = 5120 numbers up to 11264 share no factor with it.
- 4
The digits of 11264 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11264 = 2^{10} \times 11 \]11264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 24564 |
| Euler totient φ(n) | 5120 |
| Square | 126877696 |
| Cube | 1429150367744 |
| Square root | 106.131993 (= 32√11) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 24 |
| Scientific notation | 1.1264 × |
11264 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred and sixty-four |
| Binary (base 2) | 10110000000000 |
| Octal (base 8) | 26000 |
| Hexadecimal (base 16) | 2C00 |
| Base 3 | 120110012 |
| As time | 11264 seconds = 3 h 7 min 44 s |
Is 11264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11264 ÷ 2 = 5632) | 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 (11264 ÷ 4 = 2816) | 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 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 (11264 ÷ 8 = 1408) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (11264 ÷ 11 = 1024) | 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 11264 a prime number?
No. 11264 = × 11, so it is divisible by 2.
What are the factors of 11264?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2816, 5632, 11264.
What is 11264 in binary?
10110000000000 (hexadecimal 2C00, octal 26000).
What is the square root of 11264?
About 106.1320, exactly 32√11.
Is 11264 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 11264?
It is a composite number with 22 divisors.