The number 27031
27031 is the 2964th prime number. Its only divisors are 1 and 27031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27031: the 2964th prime number.
- 2
27031 is prime, so its only factors are 1 and 27031. It is the 2964th prime; the next prime is 27043 and the one before is 27017.
- 3
The divisors add up to 27032; without 27031 itself that is 1, so 27031 is deficient (1 is less than 27031). Euler's totient φ(27031) = 27030 numbers up to 27031 share no factor with it.
- 4
The digits of 27031 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 38 steps to reach 1.
27031 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27032 |
| Euler totient φ(n) | 27030 |
| Square | 730674961 |
| Cube | 19750874870791 |
| Square root | 164.411070 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7031 × |
27031 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and thirty-one |
| Binary (base 2) | 110100110010111 |
| Octal (base 8) | 64627 |
| Hexadecimal (base 16) | 6997 |
| Base 3 | 1101002011 |
| As time | 27031 seconds = 7 h 30 min 31 s |
Is 27031 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 7) | 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 4) | 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 27031 a prime number?
Yes. 27031 is divisible only by 1 and itself.
What are the factors of 27031?
1, 27031.
What is 27031 in binary?
110100110010111 (hexadecimal 6997, octal 64627).
What is the square root of 27031?
About 164.4111.
Is 27031 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27031?
27031 is the 2964th prime number.