The number 58997
58997 is the 5963rd prime number. Its only divisors are 1 and 58997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58997: the 5963rd prime number.
- 2
58997 is prime, so its only factors are 1 and 58997. It is the 5963rd prime; the next prime is 59009 and the one before is 58991.
- 3
The divisors add up to 58998; without 58997 itself that is 1, so 58997 is deficient (1 is less than 58997). Euler's totient φ(58997) = 58996 numbers up to 58997 share no factor with it.
- 4
The digits of 58997 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
58997 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58998 |
| Euler totient φ(n) | 58996 |
| Square | 3480646009 |
| Cube | 205347672592973 |
| Square root | 242.892981 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8997 × |
58997 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and ninety-seven |
| Binary (base 2) | 1110011001110101 |
| Octal (base 8) | 163165 |
| Hexadecimal (base 16) | E675 |
| Base 3 | 2222221002 |
| As time | 58997 seconds = 16 h 23 min 17 s |
Is 58997 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 58997 a prime number?
Yes. 58997 is divisible only by 1 and itself.
What are the factors of 58997?
1, 58997.
What is 58997 in binary?
1110011001110101 (hexadecimal E675, octal 163165).
What is the square root of 58997?
About 242.8930.
Is 58997 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 58997?
58997 is the 5963rd prime number.