The number 42571
42571 is a twin prime (42569 and 42571 are both prime) and the 4452nd prime number. Its only divisors are 1 and 42571.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42571: a twin prime (42569 and 42571 are both prime); the 4452nd prime number.
- 2
42571 is prime, so its only factors are 1 and 42571. It is the 4452nd prime; the next prime is 42577 and the one before is 42569.
- 3
The divisors add up to 42572; without 42571 itself that is 1, so 42571 is deficient (1 is less than 42571). Euler's totient φ(42571) = 42570 numbers up to 42571 share no factor with it.
- 4
The digits of 42571 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
42571 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42572 |
| Euler totient φ(n) | 42570 |
| Square | 1812290041 |
| Cube | 77150999335411 |
| Square root | 206.327410 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2571 × |
42571 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and seventy-one |
| Binary (base 2) | 1010011001001011 |
| Octal (base 8) | 123113 |
| Hexadecimal (base 16) | A64B |
| Base 3 | 2011101201 |
| As time | 42571 seconds = 11 h 49 min 31 s |
Is 42571 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 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 1) | 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 42571 a prime number?
Yes. 42571 is divisible only by 1 and itself.
What are the factors of 42571?
1, 42571.
What is 42571 in binary?
1010011001001011 (hexadecimal A64B, octal 123113).
What is the square root of 42571?
About 206.3274.
Is 42571 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42571?
42571 is a twin prime (42569 and 42571 are both prime); the 4452nd prime number.