The number 58771
58771 is the 5946th prime number. Its only divisors are 1 and 58771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58771: the 5946th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58771 is prime, so its only factors are 1 and 58771. It is the 5946th prime; the next prime is 58787 and the one before is 58763.
- 3
The divisors add up to 58772; without 58771 itself that is 1, so 58771 is deficient (1 is less than 58771). Euler's totient φ(58771) = 58770 numbers up to 58771 share no factor with it.
- 4
The digits of 58771 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
58771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58772 |
| Euler totient φ(n) | 58770 |
| Square | 3454030441 |
| Cube | 202996823048011 |
| Square root | 242.427309 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 148 |
| Scientific notation | 5.8771 × |
58771 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and seventy-one |
| Binary (base 2) | 1110010110010011 |
| Octal (base 8) | 162623 |
| Hexadecimal (base 16) | E593 |
| Base 3 | 2222121201 |
| As time | 58771 seconds = 16 h 19 min 31 s |
Is 58771 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 6) | 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 9) | 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 58771 a prime number?
Yes. 58771 is divisible only by 1 and itself.
What are the factors of 58771?
1, 58771.
What is 58771 in binary?
1110010110010011 (hexadecimal E593, octal 162623).
What is the square root of 58771?
About 242.4273.
Is 58771 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58771?
58771 is the 5946th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.