The number 571
571 is a twin prime (569 and 571 are both prime) and the 105th prime number. Its only divisors are 1 and 571.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 571: a twin prime (569 and 571 are both prime); the 105th prime number.
- 2
571 is prime, so its only factors are 1 and 571. It is the 105th prime; the next prime is 577 and the one before is 569.
- 3
The divisors add up to 572; without 571 itself that is 1, so 571 is deficient (1 is less than 571). Euler's totient φ(571) = 570 numbers up to 571 share no factor with it.
- 4
The digits of 571 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
571 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 572 |
| Euler totient φ(n) | 570 |
| Square | 326041 |
| Cube | 186169411 |
| Square root | 23.895606 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.71 × |
571 in other forms
| Form | Value |
|---|---|
| In words | five hundred and seventy-one |
| Roman numerals | DLXXI |
| Binary (base 2) | 1000111011 |
| Octal (base 8) | 1073 |
| Hexadecimal (base 16) | 23B |
| Base 3 | 210011 |
| As time | 571 seconds = 9 min 31 s |
Is 571 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 4) | 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 4) | 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 10) | 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 571 a prime number?
Yes. 571 is divisible only by 1 and itself.
What are the factors of 571?
1, 571.
What is 571 in binary?
1000111011 (hexadecimal 23B, octal 1073).
What is the square root of 571?
About 23.8956.
What is 571 in Roman numerals?
DLXXI.
Is 571 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 571?
571 is a twin prime (569 and 571 are both prime); the 105th prime number.