The number 58271
58271 is the 5902nd prime number. Its only divisors are 1 and 58271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58271: the 5902nd prime number.
- 2
58271 is prime, so its only factors are 1 and 58271. It is the 5902nd prime; the next prime is 58309 and the one before is 58243.
- 3
The divisors add up to 58272; without 58271 itself that is 1, so 58271 is deficient (1 is less than 58271). Euler's totient φ(58271) = 58270 numbers up to 58271 share no factor with it.
- 4
The digits of 58271 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 228 steps to reach 1.
58271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58272 |
| Euler totient φ(n) | 58270 |
| Square | 3395509441 |
| Cube | 197859730636511 |
| Square root | 241.393869 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 228 |
| Scientific notation | 5.8271 × |
58271 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and seventy-one |
| Binary (base 2) | 1110001110011111 |
| Octal (base 8) | 161637 |
| Hexadecimal (base 16) | E39F |
| Base 3 | 2221221012 |
| As time | 58271 seconds = 16 h 11 min 11 s |
Is 58271 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 3) | 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 4) | 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 58271 a prime number?
Yes. 58271 is divisible only by 1 and itself.
What are the factors of 58271?
1, 58271.
What is 58271 in binary?
1110001110011111 (hexadecimal E39F, octal 161637).
What is the square root of 58271?
About 241.3939.
Is 58271 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 58271?
58271 is the 5902nd prime number.