The number 1324
1324 is a composite number with 6 divisors. Its prime factorisation is × 331. Divisors (6): 1, 2, 4, 331, 662, 1324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1324 is composite. Its prime factorisation is
- 3
The divisors add up to 2324; without 1324 itself that is 1000, so 1324 is deficient (1000 is less than 1324). Euler's totient φ(1324) = 660 numbers up to 1324 share no factor with it.
- 4
The digits of 1324 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1324 = 2^{2} \times 331 \]1324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2324 |
| Euler totient φ(n) | 660 |
| Square | 1752976 |
| Cube | 2320940224 |
| Square root | 36.386811 (= 2√331) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.324 × |
1324 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twenty-four |
| Roman numerals | MCCCXXIV |
| Binary (base 2) | 10100101100 |
| Octal (base 8) | 2454 |
| Hexadecimal (base 16) | 52C |
| Base 3 | 1211001 |
| As time | 1324 seconds = 22 min 4 s |
Is 1324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1324 ÷ 2 = 662) | 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 (1324 ÷ 4 = 331) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 1324 a prime number?
No. 1324 = × 331, so it is divisible by 2.
What are the factors of 1324?
1, 2, 4, 331, 662, 1324.
What is 1324 in binary?
10100101100 (hexadecimal 52C, octal 2454).
What is the square root of 1324?
About 36.3868, exactly 2√331.
What is 1324 in Roman numerals?
MCCCXXIV.
Is 1324 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1324?
It is a composite number with 6 divisors.