The number 5708
5708 is a composite number with 6 divisors. Its prime factorisation is × 1427. Divisors (6): 1, 2, 4, 1427, 2854, 5708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5708 is composite. Its prime factorisation is
- 3
The divisors add up to 9996; without 5708 itself that is 4288, so 5708 is deficient (4288 is less than 5708). Euler's totient φ(5708) = 2852 numbers up to 5708 share no factor with it.
- 4
The digits of 5708 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5708 = 2^{2} \times 1427 \]5708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9996 |
| Euler totient φ(n) | 2852 |
| Square | 32581264 |
| Cube | 185973854912 |
| Square root | 75.551307 (= 2√1427) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.708 × |
5708 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and eight |
| Binary (base 2) | 1011001001100 |
| Octal (base 8) | 13114 |
| Hexadecimal (base 16) | 164C |
| Base 3 | 21211102 |
| As time | 5708 seconds = 1 h 35 min 8 s |
Is 5708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5708 ÷ 2 = 2854) | 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 (5708 ÷ 4 = 1427) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 10) | 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 5708 a prime number?
No. 5708 = × 1427, so it is divisible by 2.
What are the factors of 5708?
1, 2, 4, 1427, 2854, 5708.
What is 5708 in binary?
1011001001100 (hexadecimal 164C, octal 13114).
What is the square root of 5708?
About 75.5513, exactly 2√1427.
Is 5708 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5708?
It is a composite number with 6 divisors.