The number 58309
58309 is the 5903rd prime number. Its only divisors are 1 and 58309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58309: the 5903rd prime number.
- 2
58309 is prime, so its only factors are 1 and 58309. It is the 5903rd prime; the next prime is 58313 and the one before is 58271.
- 3
The divisors add up to 58310; without 58309 itself that is 1, so 58309 is deficient (1 is less than 58309). Euler's totient φ(58309) = 58308 numbers up to 58309 share no factor with it.
- 4
The digits of 58309 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 47 steps to reach 1.
58309 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58310 |
| Euler totient φ(n) | 58308 |
| Square | 3399939481 |
| Cube | 198247071197629 |
| Square root | 241.472566 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8309 × |
58309 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and nine |
| Binary (base 2) | 1110001111000101 |
| Octal (base 8) | 161705 |
| Hexadecimal (base 16) | E3C5 |
| Base 3 | 2221222121 |
| As time | 58309 seconds = 16 h 11 min 49 s |
Is 58309 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 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 5) | 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 9) | 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 58309 a prime number?
Yes. 58309 is divisible only by 1 and itself.
What are the factors of 58309?
1, 58309.
What is 58309 in binary?
1110001111000101 (hexadecimal E3C5, octal 161705).
What is the square root of 58309?
About 241.4726.
Is 58309 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58309?
58309 is the 5903rd prime number.