The number 7324
7324 is a composite number with 6 divisors. Its prime factorisation is × 1831. Divisors (6): 1, 2, 4, 1831, 3662, 7324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7324 is composite. Its prime factorisation is
- 3
The divisors add up to 12824; without 7324 itself that is 5500, so 7324 is deficient (5500 is less than 7324). Euler's totient φ(7324) = 3660 numbers up to 7324 share no factor with it.
- 4
The digits of 7324 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7324 = 2^{2} \times 1831 \]7324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 12824 |
| Euler totient φ(n) | 3660 |
| Square | 53640976 |
| Cube | 392866508224 |
| Square root | 85.580372 (= 2√1831) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.324 × |
7324 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and twenty-four |
| Binary (base 2) | 1110010011100 |
| Octal (base 8) | 16234 |
| Hexadecimal (base 16) | 1C9C |
| Base 3 | 101001021 |
| As time | 7324 seconds = 2 h 2 min 4 s |
Is 7324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7324 ÷ 2 = 3662) | 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 (7324 ÷ 4 = 1831) | 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 2) | 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 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 9) | 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 7324 a prime number?
No. 7324 = × 1831, so it is divisible by 2.
What are the factors of 7324?
1, 2, 4, 1831, 3662, 7324.
What is 7324 in binary?
1110010011100 (hexadecimal 1C9C, octal 16234).
What is the square root of 7324?
About 85.5804, exactly 2√1831.
Is 7324 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7324?
It is a composite number with 6 divisors.