The number 271
271 is a twin prime (269 and 271 are both prime) and the 58th prime number. Its only divisors are 1 and 271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 271: a twin prime (269 and 271 are both prime); the 58th prime number.
- 2
271 is prime, so its only factors are 1 and 271. It is the 58th prime; the next prime is 277 and the one before is 269.
- 3
The divisors add up to 272; without 271 itself that is 1, so 271 is deficient (1 is less than 271). Euler's totient φ(271) = 270 numbers up to 271 share no factor with it.
- 4
The digits of 271 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 272 |
| Euler totient φ(n) | 270 |
| Square | 73441 |
| Cube | 19902511 |
| Square root | 16.462078 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 2.71 × |
271 in other forms
| Form | Value |
|---|---|
| In words | two hundred and seventy-one |
| Roman numerals | CCLXXI |
| Binary (base 2) | 100001111 |
| Octal (base 8) | 417 |
| Hexadecimal (base 16) | 10F |
| Base 3 | 101001 |
| As time | 271 seconds = 4 min 31 s |
Is 271 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 5) | 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 7) | 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 271 a prime number?
Yes. 271 is divisible only by 1 and itself.
What are the factors of 271?
1, 271.
What is 271 in binary?
100001111 (hexadecimal 10F, octal 417).
What is the square root of 271?
About 16.4621.
What is 271 in Roman numerals?
CCLXXI.
Is 271 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 271?
271 is a twin prime (269 and 271 are both prime); the 58th prime number.