The number 31324
31324 is a composite number with 12 divisors. Its prime factorisation is × 41 × 191. Divisors (12): 1, 2, 4, 41, 82, 164, 191, 382, 764, 7831, 15662, 31324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31324 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 31324 itself that is 25124, so 31324 is deficient (25124 is less than 31324). Euler's totient φ(31324) = 15200 numbers up to 31324 share no factor with it.
- 4
The digits of 31324 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31324 = 2^{2} \times 41 \times 191 \]31324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 15200 |
| Square | 981192976 |
| Cube | 30734888780224 |
| Square root | 176.985875 (= 2√7831) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1324 × |
31324 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and twenty-four |
| Binary (base 2) | 111101001011100 |
| Octal (base 8) | 75134 |
| Hexadecimal (base 16) | 7A5C |
| Base 3 | 1120222011 |
| As time | 31324 seconds = 8 h 42 min 4 s |
Is 31324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31324 ÷ 2 = 15662) | 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 (31324 ÷ 4 = 7831) | 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 6) | 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 7) | 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 31324 a prime number?
No. 31324 = × 41 × 191, so it is divisible by 2.
What are the factors of 31324?
1, 2, 4, 41, 82, 164, 191, 382, 764, 7831, 15662, 31324.
What is 31324 in binary?
111101001011100 (hexadecimal 7A5C, octal 75134).
What is the square root of 31324?
About 176.9859, exactly 2√7831.
Is 31324 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31324?
It is a composite number with 12 divisors.