The number 58937
58937 is the 5957th prime number. Its only divisors are 1 and 58937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58937: the 5957th prime number.
- 2
58937 is prime, so its only factors are 1 and 58937. It is the 5957th prime; the next prime is 58943 and the one before is 58921.
- 3
The divisors add up to 58938; without 58937 itself that is 1, so 58937 is deficient (1 is less than 58937). Euler's totient φ(58937) = 58936 numbers up to 58937 share no factor with it.
- 4
The digits of 58937 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
58937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58938 |
| Euler totient φ(n) | 58936 |
| Square | 3473569969 |
| Cube | 204721793262953 |
| Square root | 242.769438 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8937 × |
58937 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and thirty-seven |
| Binary (base 2) | 1110011000111001 |
| Octal (base 8) | 163071 |
| Hexadecimal (base 16) | E639 |
| Base 3 | 2222211212 |
| As time | 58937 seconds = 16 h 22 min 17 s |
Is 58937 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58937 a prime number?
Yes. 58937 is divisible only by 1 and itself.
What are the factors of 58937?
1, 58937.
What is 58937 in binary?
1110011000111001 (hexadecimal E639, octal 163071).
What is the square root of 58937?
About 242.7694.
Is 58937 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 58937?
58937 is the 5957th prime number.