The number 5684
5684 is a composite number with 18 divisors. Its prime factorisation is × × 29. Divisors (18): 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421 … 5684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5684 is composite. Its prime factorisation is
- 3
The divisors add up to 11970; without 5684 itself that is 6286, so 5684 is abundant (6286 is more than 5684). Euler's totient φ(5684) = 2352 numbers up to 5684 share no factor with it.
- 4
The digits of 5684 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5684 = 2^{2} \times 7^{2} \times 29 \]5684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 11970 |
| Euler totient φ(n) | 2352 |
| Square | 32307856 |
| Cube | 183637853504 |
| Square root | 75.392307 (= 14√29) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.684 × |
5684 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and eighty-four |
| Binary (base 2) | 1011000110100 |
| Octal (base 8) | 13064 |
| Hexadecimal (base 16) | 1634 |
| Base 3 | 21210112 |
| As time | 5684 seconds = 1 h 34 min 44 s |
Is 5684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5684 ÷ 2 = 2842) | 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 (5684 ÷ 4 = 1421) | 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 | Yes (5684 ÷ 7 = 812) | 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 5) | 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 8) | 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 5684 a prime number?
No. 5684 = × × 29, so it is divisible by 2.
What are the factors of 5684?
1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684.
What is 5684 in binary?
1011000110100 (hexadecimal 1634, octal 13064).
What is the square root of 5684?
About 75.3923, exactly 14√29.
Is 5684 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5684?
It is a composite number with 18 divisors.