The number 10331
10331 is a twin prime (10331 and 10333 are both prime) and the 1267th prime number. Its only divisors are 1 and 10331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10331: a twin prime (10331 and 10333 are both prime); the 1267th prime number.
- 2
10331 is prime, so its only factors are 1 and 10331. It is the 1267th prime; the next prime is 10333 and the one before is 10321.
- 3
The divisors add up to 10332; without 10331 itself that is 1, so 10331 is deficient (1 is less than 10331). Euler's totient φ(10331) = 10330 numbers up to 10331 share no factor with it.
- 4
The digits of 10331 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
10331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10332 |
| Euler totient φ(n) | 10330 |
| Square | 106729561 |
| Cube | 1102623094691 |
| Square root | 101.641527 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 166 |
| Scientific notation | 1.0331 × |
10331 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and thirty-one |
| Binary (base 2) | 10100001011011 |
| Octal (base 8) | 24133 |
| Hexadecimal (base 16) | 285B |
| Base 3 | 112011122 |
| As time | 10331 seconds = 2 h 52 min 11 s |
Is 10331 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 2) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10331 a prime number?
Yes. 10331 is divisible only by 1 and itself.
What are the factors of 10331?
1, 10331.
What is 10331 in binary?
10100001011011 (hexadecimal 285B, octal 24133).
What is the square root of 10331?
About 101.6415.
Is 10331 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 10331?
10331 is a twin prime (10331 and 10333 are both prime); the 1267th prime number.