The number 58109
58109 is a twin prime (58109 and 58111 are both prime) and the 5884th prime number. Its only divisors are 1 and 58109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58109: a twin prime (58109 and 58111 are both prime); the 5884th prime number.
- 2
58109 is prime, so its only factors are 1 and 58109. It is the 5884th prime; the next prime is 58111 and the one before is 58099.
- 3
The divisors add up to 58110; without 58109 itself that is 1, so 58109 is deficient (1 is less than 58109). Euler's totient φ(58109) = 58108 numbers up to 58109 share no factor with it.
- 4
The digits of 58109 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
58109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58110 |
| Euler totient φ(n) | 58108 |
| Square | 3376655881 |
| Cube | 196214096589029 |
| Square root | 241.058084 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8109 × |
58109 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and nine |
| Binary (base 2) | 1110001011111101 |
| Octal (base 8) | 161375 |
| Hexadecimal (base 16) | E2FD |
| Base 3 | 2221201012 |
| As time | 58109 seconds = 16 h 8 min 29 s |
Is 58109 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 4) | 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 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 5) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58109 a prime number?
Yes. 58109 is divisible only by 1 and itself.
What are the factors of 58109?
1, 58109.
What is 58109 in binary?
1110001011111101 (hexadecimal E2FD, octal 161375).
What is the square root of 58109?
About 241.0581.
Is 58109 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 58109?
58109 is a twin prime (58109 and 58111 are both prime); the 5884th prime number.