The number 5704
5704 is a composite number with 16 divisors. Its prime factorisation is × 23 × 31. Divisors (16): 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5704 is composite. Its prime factorisation is
- 3
The divisors add up to 11520; without 5704 itself that is 5816, so 5704 is abundant (5816 is more than 5704). Euler's totient φ(5704) = 2640 numbers up to 5704 share no factor with it.
- 4
The digits of 5704 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5704 = 2^{3} \times 23 \times 31 \]5704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11520 |
| Euler totient φ(n) | 2640 |
| Square | 32535616 |
| Cube | 185583153664 |
| Square root | 75.524830 (= 2√1426) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.704 × |
5704 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and four |
| Binary (base 2) | 1011001001000 |
| Octal (base 8) | 13110 |
| Hexadecimal (base 16) | 1648 |
| Base 3 | 21211021 |
| As time | 5704 seconds = 1 h 35 min 4 s |
Is 5704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5704 ÷ 2 = 2852) | 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 (5704 ÷ 4 = 1426) | 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 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 | Yes (5704 ÷ 8 = 713) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 5704 a prime number?
No. 5704 = × 23 × 31, so it is divisible by 2.
What are the factors of 5704?
1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704.
What is 5704 in binary?
1011001001000 (hexadecimal 1648, octal 13110).
What is the square root of 5704?
About 75.5248, exactly 2√1426.
Is 5704 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5704?
It is a composite number with 16 divisors.