The number 58967
58967 is the 5960th prime number. Its only divisors are 1 and 58967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58967: the 5960th prime number.
- 2
58967 is prime, so its only factors are 1 and 58967. It is the 5960th prime; the next prime is 58979 and the one before is 58963.
- 3
The divisors add up to 58968; without 58967 itself that is 1, so 58967 is deficient (1 is less than 58967). Euler's totient φ(58967) = 58966 numbers up to 58967 share no factor with it.
- 4
The digits of 58967 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
58967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58968 |
| Euler totient φ(n) | 58966 |
| Square | 3477107089 |
| Cube | 205034573717063 |
| Square root | 242.831217 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8967 × |
58967 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and sixty-seven |
| Binary (base 2) | 1110011001010111 |
| Octal (base 8) | 163127 |
| Hexadecimal (base 16) | E657 |
| Base 3 | 2222212222 |
| As time | 58967 seconds = 16 h 22 min 47 s |
Is 58967 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 58967 a prime number?
Yes. 58967 is divisible only by 1 and itself.
What are the factors of 58967?
1, 58967.
What is 58967 in binary?
1110011001010111 (hexadecimal E657, octal 163127).
What is the square root of 58967?
About 242.8312.
Is 58967 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 58967?
58967 is the 5960th prime number.