The number 9708
9708 is a composite number with 12 divisors. Its prime factorisation is × 3 × 809. Divisors (12): 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9708 is composite. Its prime factorisation is
- 3
The divisors add up to 22680; without 9708 itself that is 12972, so 9708 is abundant (12972 is more than 9708). Euler's totient φ(9708) = 3232 numbers up to 9708 share no factor with it.
- 4
The digits of 9708 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9708 = 2^{2} \times 3 \times 809 \]9708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22680 |
| Euler totient φ(n) | 3232 |
| Square | 94245264 |
| Cube | 914933022912 |
| Square root | 98.529183 (= 2√2427) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.708 × |
9708 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and eight |
| Binary (base 2) | 10010111101100 |
| Octal (base 8) | 22754 |
| Hexadecimal (base 16) | 25EC |
| Base 3 | 111022120 |
| As time | 9708 seconds = 2 h 41 min 48 s |
Is 9708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9708 ÷ 2 = 4854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9708 ÷ 3 = 3236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9708 ÷ 4 = 2427) | 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 (9708 ÷ 6 = 1618) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9708 ÷ 12 = 809) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9708 a prime number?
No. 9708 = × 3 × 809, so it is divisible by 2.
What are the factors of 9708?
1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708.
What is 9708 in binary?
10010111101100 (hexadecimal 25EC, octal 22754).
What is the square root of 9708?
About 98.5292, exactly 2√2427.
Is 9708 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9708?
It is a composite number with 12 divisors.