The number 5791
5791 is the 760th prime number. Its only divisors are 1 and 5791.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5791: the 760th prime number.
- 2
5791 is prime, so its only factors are 1 and 5791. It is the 760th prime; the next prime is 5801 and the one before is 5783.
- 3
The divisors add up to 5792; without 5791 itself that is 1, so 5791 is deficient (1 is less than 5791). Euler's totient φ(5791) = 5790 numbers up to 5791 share no factor with it.
- 4
The digits of 5791 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
5791 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5792 |
| Euler totient φ(n) | 5790 |
| Square | 33535681 |
| Cube | 194205128671 |
| Square root | 76.098620 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 5.791 × |
5791 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and ninety-one |
| Binary (base 2) | 1011010011111 |
| Octal (base 8) | 13237 |
| Hexadecimal (base 16) | 169F |
| Base 3 | 21221111 |
| As time | 5791 seconds = 1 h 36 min 31 s |
Is 5791 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 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 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 5) | 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 5791 a prime number?
Yes. 5791 is divisible only by 1 and itself.
What are the factors of 5791?
1, 5791.
What is 5791 in binary?
1011010011111 (hexadecimal 169F, octal 13237).
What is the square root of 5791?
About 76.0986.
Is 5791 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5791?
5791 is the 760th prime number.