The number 59239
59239 is the 5991st prime number. Its only divisors are 1 and 59239.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59239: the 5991st prime number.
- 2
59239 is prime, so its only factors are 1 and 59239. It is the 5991st prime; the next prime is 59243 and the one before is 59233.
- 3
The divisors add up to 59240; without 59239 itself that is 1, so 59239 is deficient (1 is less than 59239). Euler's totient φ(59239) = 59238 numbers up to 59239 share no factor with it.
- 4
The digits of 59239 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
59239 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59240 |
| Euler totient φ(n) | 59238 |
| Square | 3509259121 |
| Cube | 207885001068919 |
| Square root | 243.390633 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 210 |
| Scientific notation | 5.9239 × |
59239 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and thirty-nine |
| Binary (base 2) | 1110011101100111 |
| Octal (base 8) | 163547 |
| Hexadecimal (base 16) | E767 |
| Base 3 | 10000021001 |
| As time | 59239 seconds = 16 h 27 min 19 s |
Is 59239 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 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59239 a prime number?
Yes. 59239 is divisible only by 1 and itself.
What are the factors of 59239?
1, 59239.
What is 59239 in binary?
1110011101100111 (hexadecimal E767, octal 163547).
What is the square root of 59239?
About 243.3906.
Is 59239 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59239?
59239 is the 5991st prime number.