The number 4271
4271 is a twin prime (4271 and 4273 are both prime) and the 586th prime number. Its only divisors are 1 and 4271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4271: a twin prime (4271 and 4273 are both prime); the 586th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4271 is prime, so its only factors are 1 and 4271. It is the 586th prime; the next prime is 4273 and the one before is 4261.
- 3
The divisors add up to 4272; without 4271 itself that is 1, so 4271 is deficient (1 is less than 4271). Euler's totient φ(4271) = 4270 numbers up to 4271 share no factor with it.
- 4
The digits of 4271 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
4271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4272 |
| Euler totient φ(n) | 4270 |
| Square | 18241441 |
| Cube | 77909194511 |
| Square root | 65.352888 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 170 |
| Scientific notation | 4.271 × |
4271 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and seventy-one |
| Binary (base 2) | 1000010101111 |
| Octal (base 8) | 10257 |
| Hexadecimal (base 16) | 10AF |
| Base 3 | 12212012 |
| As time | 4271 seconds = 1 h 11 min 11 s |
Is 4271 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 4271 a prime number?
Yes. 4271 is divisible only by 1 and itself.
What are the factors of 4271?
1, 4271.
What is 4271 in binary?
1000010101111 (hexadecimal 10AF, octal 10257).
What is the square root of 4271?
About 65.3529.
Is 4271 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4271?
4271 is a twin prime (4271 and 4273 are both prime); the 586th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.