The number 59791
59791 is the 6044th prime number. Its only divisors are 1 and 59791.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59791: the 6044th prime number.
- 2
59791 is prime, so its only factors are 1 and 59791. It is the 6044th prime; the next prime is 59797 and the one before is 59779.
- 3
The divisors add up to 59792; without 59791 itself that is 1, so 59791 is deficient (1 is less than 59791). Euler's totient φ(59791) = 59790 numbers up to 59791 share no factor with it.
- 4
The digits of 59791 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 73 steps to reach 1.
59791 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59792 |
| Euler totient φ(n) | 59790 |
| Square | 3574963681 |
| Cube | 213750653450671 |
| Square root | 244.521983 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9791 × |
59791 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and ninety-one |
| Binary (base 2) | 1110100110001111 |
| Octal (base 8) | 164617 |
| Hexadecimal (base 16) | E98F |
| Base 3 | 10001000111 |
| As time | 59791 seconds = 16 h 36 min 31 s |
Is 59791 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 1) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 59791 a prime number?
Yes. 59791 is divisible only by 1 and itself.
What are the factors of 59791?
1, 59791.
What is 59791 in binary?
1110100110001111 (hexadecimal E98F, octal 164617).
What is the square root of 59791?
About 244.5220.
Is 59791 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 59791?
59791 is the 6044th prime number.