The number 11364
11364 is a composite number with 12 divisors. Its prime factorisation is × 3 × 947. Divisors (12): 1, 2, 3, 4, 6, 12, 947, 1894, 2841, 3788, 5682, 11364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11364 is composite. Its prime factorisation is
- 3
The divisors add up to 26544; without 11364 itself that is 15180, so 11364 is abundant (15180 is more than 11364). Euler's totient φ(11364) = 3784 numbers up to 11364 share no factor with it.
- 4
The digits of 11364 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11364 = 2^{2} \times 3 \times 947 \]11364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26544 |
| Euler totient φ(n) | 3784 |
| Square | 129140496 |
| Cube | 1467552596544 |
| Square root | 106.602064 (= 2√2841) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1364 × |
11364 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand three hundred and sixty-four |
| Binary (base 2) | 10110001100100 |
| Octal (base 8) | 26144 |
| Hexadecimal (base 16) | 2C64 |
| Base 3 | 120120220 |
| As time | 11364 seconds = 3 h 9 min 24 s |
Is 11364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11364 ÷ 2 = 5682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11364 ÷ 3 = 3788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11364 ÷ 4 = 2841) | 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 (11364 ÷ 6 = 1894) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11364 ÷ 12 = 947) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11364 a prime number?
No. 11364 = × 3 × 947, so it is divisible by 2.
What are the factors of 11364?
1, 2, 3, 4, 6, 12, 947, 1894, 2841, 3788, 5682, 11364.
What is 11364 in binary?
10110001100100 (hexadecimal 2C64, octal 26144).
What is the square root of 11364?
About 106.6021, exactly 2√2841.
Is 11364 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11364?
It is a composite number with 12 divisors.