The number 27091
27091 is the 2971st prime number. Its only divisors are 1 and 27091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27091: the 2971st prime number.
- 2
27091 is prime, so its only factors are 1 and 27091. It is the 2971st prime; the next prime is 27103 and the one before is 27077.
- 3
The divisors add up to 27092; without 27091 itself that is 1, so 27091 is deficient (1 is less than 27091). Euler's totient φ(27091) = 27090 numbers up to 27091 share no factor with it.
- 4
The digits of 27091 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
27091 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27092 |
| Euler totient φ(n) | 27090 |
| Square | 733922281 |
| Cube | 19882688514571 |
| Square root | 164.593439 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7091 × |
27091 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and ninety-one |
| Binary (base 2) | 110100111010011 |
| Octal (base 8) | 64723 |
| Hexadecimal (base 16) | 69D3 |
| Base 3 | 1101011101 |
| As time | 27091 seconds = 7 h 31 min 31 s |
Is 27091 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 27091 a prime number?
Yes. 27091 is divisible only by 1 and itself.
What are the factors of 27091?
1, 27091.
What is 27091 in binary?
110100111010011 (hexadecimal 69D3, octal 64723).
What is the square root of 27091?
About 164.5934.
Is 27091 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27091?
27091 is the 2971st prime number.