The number 5788
5788 is a composite number with 6 divisors. Its prime factorisation is × 1447. Divisors (6): 1, 2, 4, 1447, 2894, 5788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5788 is composite. Its prime factorisation is
- 3
The divisors add up to 10136; without 5788 itself that is 4348, so 5788 is deficient (4348 is less than 5788). Euler's totient φ(5788) = 2892 numbers up to 5788 share no factor with it.
- 4
The digits of 5788 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5788 = 2^{2} \times 1447 \]5788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 10136 |
| Euler totient φ(n) | 2892 |
| Square | 33500944 |
| Cube | 193903463872 |
| Square root | 76.078906 (= 2√1447) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.788 × |
5788 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and eighty-eight |
| Binary (base 2) | 1011010011100 |
| Octal (base 8) | 13234 |
| Hexadecimal (base 16) | 169C |
| Base 3 | 21221101 |
| As time | 5788 seconds = 1 h 36 min 28 s |
Is 5788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5788 ÷ 2 = 2894) | 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 | Yes (5788 ÷ 4 = 1447) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5788 a prime number?
No. 5788 = × 1447, so it is divisible by 2.
What are the factors of 5788?
1, 2, 4, 1447, 2894, 5788.
What is 5788 in binary?
1011010011100 (hexadecimal 169C, octal 13234).
What is the square root of 5788?
About 76.0789, exactly 2√1447.
Is 5788 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 5788?
It is a composite number with 6 divisors.