The number 58909
58909 is a twin prime (58907 and 58909 are both prime) and the 5954th prime number. Its only divisors are 1 and 58909.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58909: a twin prime (58907 and 58909 are both prime); the 5954th prime number.
- 2
58909 is prime, so its only factors are 1 and 58909. It is the 5954th prime; the next prime is 58913 and the one before is 58907.
- 3
The divisors add up to 58910; without 58909 itself that is 1, so 58909 is deficient (1 is less than 58909). Euler's totient φ(58909) = 58908 numbers up to 58909 share no factor with it.
- 4
The digits of 58909 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
58909 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58910 |
| Euler totient φ(n) | 58908 |
| Square | 3470270281 |
| Cube | 204430151983429 |
| Square root | 242.711763 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8909 × |
58909 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and nine |
| Binary (base 2) | 1110011000011101 |
| Octal (base 8) | 163035 |
| Hexadecimal (base 16) | E61D |
| Base 3 | 2222210211 |
| As time | 58909 seconds = 16 h 21 min 49 s |
Is 58909 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 4) | 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 4) | 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 4) | 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 58909 a prime number?
Yes. 58909 is divisible only by 1 and itself.
What are the factors of 58909?
1, 58909.
What is 58909 in binary?
1110011000011101 (hexadecimal E61D, octal 163035).
What is the square root of 58909?
About 242.7118.
Is 58909 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 58909?
58909 is a twin prime (58907 and 58909 are both prime); the 5954th prime number.