The number 33331
33331 is a twin prime (33329 and 33331 are both prime) and the 3569th prime number. Its only divisors are 1 and 33331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33331: a twin prime (33329 and 33331 are both prime); the 3569th prime number.
- 2
33331 is prime, so its only factors are 1 and 33331. It is the 3569th prime; the next prime is 33343 and the one before is 33329.
- 3
The divisors add up to 33332; without 33331 itself that is 1, so 33331 is deficient (1 is less than 33331). Euler's totient φ(33331) = 33330 numbers up to 33331 share no factor with it.
- 4
The digits of 33331 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 160 steps to reach 1.
33331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33332 |
| Euler totient φ(n) | 33330 |
| Square | 1110955561 |
| Cube | 37029259803691 |
| Square root | 182.567796 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3331 × |
33331 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and thirty-one |
| Binary (base 2) | 1000001000110011 |
| Octal (base 8) | 101063 |
| Hexadecimal (base 16) | 8233 |
| Base 3 | 1200201111 |
| As time | 33331 seconds = 9 h 15 min 31 s |
Is 33331 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33331 a prime number?
Yes. 33331 is divisible only by 1 and itself.
What are the factors of 33331?
1, 33331.
What is 33331 in binary?
1000001000110011 (hexadecimal 8233, octal 101063).
What is the square root of 33331?
About 182.5678.
Is 33331 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33331?
33331 is a twin prime (33329 and 33331 are both prime); the 3569th prime number.