The number 3571
3571 is the 500th prime number. Its only divisors are 1 and 3571.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3571: the 500th prime number.
- 2
3571 is prime, so its only factors are 1 and 3571. It is the 500th prime; the next prime is 3581 and the one before is 3559.
- 3
The divisors add up to 3572; without 3571 itself that is 1, so 3571 is deficient (1 is less than 3571). Euler's totient φ(3571) = 3570 numbers up to 3571 share no factor with it.
- 4
The digits of 3571 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
3571 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3572 |
| Euler totient φ(n) | 3570 |
| Square | 12752041 |
| Cube | 45537538411 |
| Square root | 59.757845 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.571 × |
3571 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and seventy-one |
| Roman numerals | MMMDLXXI |
| Binary (base 2) | 110111110011 |
| Octal (base 8) | 6763 |
| Hexadecimal (base 16) | DF3 |
| Base 3 | 11220021 |
| As time | 3571 seconds = 59 min 31 s |
Is 3571 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3571 a prime number?
Yes. 3571 is divisible only by 1 and itself.
What are the factors of 3571?
1, 3571.
What is 3571 in binary?
110111110011 (hexadecimal DF3, octal 6763).
What is the square root of 3571?
About 59.7578.
What is 3571 in Roman numerals?
MMMDLXXI.
Is 3571 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3571?
3571 is the 500th prime number.