The number 5808
5808 is a composite number with 30 divisors. Its prime factorisation is × 3 × . Divisors (30): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88 … 5808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5808 is composite. Its prime factorisation is
- 3
The divisors add up to 16492; without 5808 itself that is 10684, so 5808 is abundant (10684 is more than 5808). Euler's totient φ(5808) = 1760 numbers up to 5808 share no factor with it.
- 4
The digits of 5808 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5808 = 2^{4} \times 3 \times 11^{2} \]5808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 16492 |
| Euler totient φ(n) | 1760 |
| Square | 33732864 |
| Cube | 195920474112 |
| Square root | 76.210236 (= 44√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.808 × |
5808 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and eight |
| Binary (base 2) | 1011010110000 |
| Octal (base 8) | 13260 |
| Hexadecimal (base 16) | 16B0 |
| Base 3 | 21222010 |
| As time | 5808 seconds = 1 h 36 min 48 s |
Is 5808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5808 ÷ 2 = 2904) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5808 ÷ 3 = 1936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5808 ÷ 4 = 1452) | 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 | Yes (5808 ÷ 6 = 968) | 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 | Yes (5808 ÷ 8 = 726) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (5808 ÷ 11 = 528) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5808 ÷ 12 = 484) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5808 a prime number?
No. 5808 = × 3 × , so it is divisible by 2.
What are the factors of 5808?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808.
What is 5808 in binary?
1011010110000 (hexadecimal 16B0, octal 13260).
What is the square root of 5808?
About 76.2102, exactly 44√3.
Is 5808 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5808?
It is a composite number with 30 divisors.