The number 6708
6708 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 43. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172 … 6708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6708 is composite. Its prime factorisation is
- 3
The divisors add up to 17248; without 6708 itself that is 10540, so 6708 is abundant (10540 is more than 6708). Euler's totient φ(6708) = 2016 numbers up to 6708 share no factor with it.
- 4
The digits of 6708 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6708 = 2^{2} \times 3 \times 13 \times 43 \]6708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 17248 |
| Euler totient φ(n) | 2016 |
| Square | 44997264 |
| Cube | 301841646912 |
| Square root | 81.902381 (= 2√1677) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.708 × |
6708 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and eight |
| Binary (base 2) | 1101000110100 |
| Octal (base 8) | 15064 |
| Hexadecimal (base 16) | 1A34 |
| Base 3 | 100012110 |
| As time | 6708 seconds = 1 h 51 min 48 s |
Is 6708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6708 ÷ 2 = 3354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6708 ÷ 3 = 2236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6708 ÷ 4 = 1677) | 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 (6708 ÷ 6 = 1118) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6708 ÷ 12 = 559) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6708 a prime number?
No. 6708 = × 3 × 13 × 43, so it is divisible by 2.
What are the factors of 6708?
1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708.
What is 6708 in binary?
1101000110100 (hexadecimal 1A34, octal 15064).
What is the square root of 6708?
About 81.9024, exactly 2√1677.
Is 6708 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6708?
It is a composite number with 24 divisors.