The number 58921
58921 is the 5956th prime number. Its only divisors are 1 and 58921.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58921: the 5956th prime number.
- 2
58921 is prime, so its only factors are 1 and 58921. It is the 5956th prime; the next prime is 58937 and the one before is 58913.
- 3
The divisors add up to 58922; without 58921 itself that is 1, so 58921 is deficient (1 is less than 58921). Euler's totient φ(58921) = 58920 numbers up to 58921 share no factor with it.
- 4
The digits of 58921 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
58921 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58922 |
| Euler totient φ(n) | 58920 |
| Square | 3471684241 |
| Cube | 204555107163961 |
| Square root | 242.736483 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8921 × |
58921 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and twenty-one |
| Binary (base 2) | 1110011000101001 |
| Octal (base 8) | 163051 |
| Hexadecimal (base 16) | E629 |
| Base 3 | 2222211021 |
| As time | 58921 seconds = 16 h 22 min 1 s |
Is 58921 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 1) | 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 2) | 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 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58921 a prime number?
Yes. 58921 is divisible only by 1 and itself.
What are the factors of 58921?
1, 58921.
What is 58921 in binary?
1110011000101001 (hexadecimal E629, octal 163051).
What is the square root of 58921?
About 242.7365.
Is 58921 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58921?
58921 is the 5956th prime number.