The number 5797
5797 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 31. Divisors (8): 1, 11, 17, 31, 187, 341, 527, 5797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5797 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5797 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 5797 itself that is 1115, so 5797 is deficient (1115 is less than 5797). Euler's totient φ(5797) = 4800 numbers up to 5797 share no factor with it.
- 4
The digits of 5797 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5797 = 11 \times 17 \times 31 \]
5797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 4800 |
| Square | 33605209 |
| Cube | 194809396573 |
| Square root | 76.138033 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.797 × |
5797 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and ninety-seven |
| Binary (base 2) | 1011010100101 |
| Octal (base 8) | 13245 |
| Hexadecimal (base 16) | 16A5 |
| Base 3 | 21221201 |
| As time | 5797 seconds = 1 h 36 min 37 s |
Is 5797 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 2) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5797 ÷ 11 = 527) | 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 5797 a prime number?
No. 5797 = 11 × 17 × 31, so it is divisible by 11.
What are the factors of 5797?
1, 11, 17, 31, 187, 341, 527, 5797.
What is 5797 in binary?
1011010100101 (hexadecimal 16A5, octal 13245).
What is the square root of 5797?
About 76.1380.
Is 5797 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 5797?
It is a composite number with 8 divisors.