The number 13324
13324 is a composite number with 6 divisors. Its prime factorisation is × 3331. Divisors (6): 1, 2, 4, 3331, 6662, 13324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13324 is composite. Its prime factorisation is
- 3
The divisors add up to 23324; without 13324 itself that is 10000, so 13324 is deficient (10000 is less than 13324). Euler's totient φ(13324) = 6660 numbers up to 13324 share no factor with it.
- 4
The digits of 13324 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13324 = 2^{2} \times 3331 \]13324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23324 |
| Euler totient φ(n) | 6660 |
| Square | 177528976 |
| Cube | 2365396076224 |
| Square root | 115.429632 (= 2√3331) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3324 × |
13324 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-four |
| Binary (base 2) | 11010000001100 |
| Octal (base 8) | 32014 |
| Hexadecimal (base 16) | 340C |
| Base 3 | 200021111 |
| As time | 13324 seconds = 3 h 42 min 4 s |
Is 13324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13324 ÷ 2 = 6662) | 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 (13324 ÷ 4 = 3331) | 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 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 4) | 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 3) | 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 13324 a prime number?
No. 13324 = × 3331, so it is divisible by 2.
What are the factors of 13324?
1, 2, 4, 3331, 6662, 13324.
What is 13324 in binary?
11010000001100 (hexadecimal 340C, octal 32014).
What is the square root of 13324?
About 115.4296, exactly 2√3331.
Is 13324 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13324?
It is a composite number with 6 divisors.