The number 31333
31333 is the 3378th prime number. Its only divisors are 1 and 31333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31333: the 3378th prime number.
- 2
31333 is prime, so its only factors are 1 and 31333. It is the 3378th prime; the next prime is 31337 and the one before is 31327.
- 3
The divisors add up to 31334; without 31333 itself that is 1, so 31333 is deficient (1 is less than 31333). Euler's totient φ(31333) = 31332 numbers up to 31333 share no factor with it.
- 4
The digits of 31333 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 59 steps to reach 1.
31333 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31334 |
| Euler totient φ(n) | 31332 |
| Square | 981756889 |
| Cube | 30761388603037 |
| Square root | 177.011299 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.1333 × |
31333 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty-three |
| Binary (base 2) | 111101001100101 |
| Octal (base 8) | 75145 |
| Hexadecimal (base 16) | 7A65 |
| Base 3 | 1120222111 |
| As time | 31333 seconds = 8 h 42 min 13 s |
Is 31333 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31333 a prime number?
Yes. 31333 is divisible only by 1 and itself.
What are the factors of 31333?
1, 31333.
What is 31333 in binary?
111101001100101 (hexadecimal 7A65, octal 75145).
What is the square root of 31333?
About 177.0113.
Is 31333 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31333?
31333 is the 3378th prime number.