The number 58129
58129 is the 5886th prime number. Its only divisors are 1 and 58129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58129: the 5886th prime number.
- 2
58129 is prime, so its only factors are 1 and 58129. It is the 5886th prime; the next prime is 58147 and the one before is 58111.
- 3
The divisors add up to 58130; without 58129 itself that is 1, so 58129 is deficient (1 is less than 58129). Euler's totient φ(58129) = 58128 numbers up to 58129 share no factor with it.
- 4
The digits of 58129 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 166 steps to reach 1.
58129 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58130 |
| Euler totient φ(n) | 58128 |
| Square | 3378980641 |
| Cube | 196416765680689 |
| Square root | 241.099564 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8129 × |
58129 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and twenty-nine |
| Binary (base 2) | 1110001100010001 |
| Octal (base 8) | 161421 |
| Hexadecimal (base 16) | E311 |
| Base 3 | 2221201221 |
| As time | 58129 seconds = 16 h 8 min 49 s |
Is 58129 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 4) | 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 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 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 9) | 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 58129 a prime number?
Yes. 58129 is divisible only by 1 and itself.
What are the factors of 58129?
1, 58129.
What is 58129 in binary?
1110001100010001 (hexadecimal E311, octal 161421).
What is the square root of 58129?
About 241.0996.
Is 58129 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58129?
58129 is the 5886th prime number.