The number 58171
58171 is a twin prime (58169 and 58171 are both prime) and the 5891st prime number. Its only divisors are 1 and 58171.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58171: a twin prime (58169 and 58171 are both prime); the 5891st prime number.
- 2
58171 is prime, so its only factors are 1 and 58171. It is the 5891st prime; the next prime is 58189 and the one before is 58169.
- 3
The divisors add up to 58172; without 58171 itself that is 1, so 58171 is deficient (1 is less than 58171). Euler's totient φ(58171) = 58170 numbers up to 58171 share no factor with it.
- 4
The digits of 58171 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
58171 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58172 |
| Euler totient φ(n) | 58170 |
| Square | 3383865241 |
| Cube | 196842824934211 |
| Square root | 241.186650 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8171 × |
58171 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and seventy-one |
| Binary (base 2) | 1110001100111011 |
| Octal (base 8) | 161473 |
| Hexadecimal (base 16) | E33B |
| Base 3 | 2221210111 |
| As time | 58171 seconds = 16 h 9 min 31 s |
Is 58171 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 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 3) | 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 58171 a prime number?
Yes. 58171 is divisible only by 1 and itself.
What are the factors of 58171?
1, 58171.
What is 58171 in binary?
1110001100111011 (hexadecimal E33B, octal 161473).
What is the square root of 58171?
About 241.1866.
Is 58171 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58171?
58171 is a twin prime (58169 and 58171 are both prime); the 5891st prime number.