The number 31323
31323 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 197. Divisors (8): 1, 3, 53, 159, 197, 591, 10441, 31323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31323: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31323 is composite. Its prime factorisation is
- 3
The divisors add up to 42768; without 31323 itself that is 11445, so 31323 is deficient (11445 is less than 31323). Euler's totient φ(31323) = 20384 numbers up to 31323 share no factor with it.
- 4
The digits of 31323 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31323 = 3 \times 53 \times 197 \]
31323 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42768 |
| Euler totient φ(n) | 20384 |
| Square | 981130329 |
| Cube | 30731945295267 |
| Square root | 176.983050 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1323 × |
31323 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and twenty-three |
| Binary (base 2) | 111101001011011 |
| Octal (base 8) | 75133 |
| Hexadecimal (base 16) | 7A5B |
| Base 3 | 1120222010 |
| As time | 31323 seconds = 8 h 42 min 3 s |
Is 31323 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31323 ÷ 3 = 10441) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31323 a prime number?
No. 31323 = 3 × 53 × 197, so it is divisible by 3.
What are the factors of 31323?
1, 3, 53, 159, 197, 591, 10441, 31323.
What is 31323 in binary?
111101001011011 (hexadecimal 7A5B, octal 75133).
What is the square root of 31323?
About 176.9831.
Is 31323 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31323?
31323 is a happy number: repeatedly adding the squares of its digits reaches 1.