The number 10271
10271 is a twin prime (10271 and 10273 are both prime) and the 1260th prime number. Its only divisors are 1 and 10271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10271: a twin prime (10271 and 10273 are both prime); the 1260th prime number.
- 2
10271 is prime, so its only factors are 1 and 10271. It is the 1260th prime; the next prime is 10273 and the one before is 10267.
- 3
The divisors add up to 10272; without 10271 itself that is 1, so 10271 is deficient (1 is less than 10271). Euler's totient φ(10271) = 10270 numbers up to 10271 share no factor with it.
- 4
The digits of 10271 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
10271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10272 |
| Euler totient φ(n) | 10270 |
| Square | 105493441 |
| Cube | 1083523132511 |
| Square root | 101.345942 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.0271 × |
10271 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and seventy-one |
| Binary (base 2) | 10100000011111 |
| Octal (base 8) | 24037 |
| Hexadecimal (base 16) | 281F |
| Base 3 | 112002102 |
| As time | 10271 seconds = 2 h 51 min 11 s |
Is 10271 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 2) | 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 2) | 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 8) | 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 10271 a prime number?
Yes. 10271 is divisible only by 1 and itself.
What are the factors of 10271?
1, 10271.
What is 10271 in binary?
10100000011111 (hexadecimal 281F, octal 24037).
What is the square root of 10271?
About 101.3459.
Is 10271 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10271?
10271 is a twin prime (10271 and 10273 are both prime); the 1260th prime number.