The number 5804
5804 is a composite number with 6 divisors. Its prime factorisation is × 1451. Divisors (6): 1, 2, 4, 1451, 2902, 5804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5804 is composite. Its prime factorisation is
- 3
The divisors add up to 10164; without 5804 itself that is 4360, so 5804 is deficient (4360 is less than 5804). Euler's totient φ(5804) = 2900 numbers up to 5804 share no factor with it.
- 4
The digits of 5804 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5804 = 2^{2} \times 1451 \]5804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 10164 |
| Euler totient φ(n) | 2900 |
| Square | 33686416 |
| Cube | 195515958464 |
| Square root | 76.183988 (= 2√1451) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.804 × |
5804 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and four |
| Binary (base 2) | 1011010101100 |
| Octal (base 8) | 13254 |
| Hexadecimal (base 16) | 16AC |
| Base 3 | 21221222 |
| As time | 5804 seconds = 1 h 36 min 44 s |
Is 5804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5804 ÷ 2 = 2902) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5804 ÷ 4 = 1451) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5804 a prime number?
No. 5804 = × 1451, so it is divisible by 2.
What are the factors of 5804?
1, 2, 4, 1451, 2902, 5804.
What is 5804 in binary?
1011010101100 (hexadecimal 16AC, octal 13254).
What is the square root of 5804?
About 76.1840, exactly 2√1451.
Is 5804 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5804?
It is a composite number with 6 divisors.