The number 27271
27271 is the 2985th prime number. Its only divisors are 1 and 27271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27271: the 2985th prime number.
- 2
27271 is prime, so its only factors are 1 and 27271. It is the 2985th prime; the next prime is 27277 and the one before is 27259.
- 3
The divisors add up to 27272; without 27271 itself that is 1, so 27271 is deficient (1 is less than 27271). Euler's totient φ(27271) = 27270 numbers up to 27271 share no factor with it.
- 4
The digits of 27271 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 64 steps to reach 1.
27271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27272 |
| Euler totient φ(n) | 27270 |
| Square | 743707441 |
| Cube | 20281645623511 |
| Square root | 165.139335 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7271 × |
27271 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and seventy-one |
| Binary (base 2) | 110101010000111 |
| Octal (base 8) | 65207 |
| Hexadecimal (base 16) | 6A87 |
| Base 3 | 1101102001 |
| As time | 27271 seconds = 7 h 34 min 31 s |
Is 27271 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 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 7) | 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 2) | 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 27271 a prime number?
Yes. 27271 is divisible only by 1 and itself.
What are the factors of 27271?
1, 27271.
What is 27271 in binary?
110101010000111 (hexadecimal 6A87, octal 65207).
What is the square root of 27271?
About 165.1393.
Is 27271 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27271?
27271 is the 2985th prime number.