The number 9684
9684 is a composite number with 18 divisors. Its prime factorisation is × × 269. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228 … 9684.
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How to work it out
- 1
9684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9684 is composite. Its prime factorisation is
- 3
The divisors add up to 24570; without 9684 itself that is 14886, so 9684 is abundant (14886 is more than 9684). Euler's totient φ(9684) = 3216 numbers up to 9684 share no factor with it.
- 4
The digits of 9684 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9684 = 2^{2} \times 3^{2} \times 269 \]9684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 24570 |
| Euler totient φ(n) | 3216 |
| Square | 93779856 |
| Cube | 908164125504 |
| Square root | 98.407317 (= 6√269) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 21 |
| Scientific notation | 9.684 × |
9684 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and eighty-four |
| Binary (base 2) | 10010111010100 |
| Octal (base 8) | 22724 |
| Hexadecimal (base 16) | 25D4 |
| Base 3 | 111021200 |
| As time | 9684 seconds = 2 h 41 min 24 s |
Is 9684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9684 ÷ 2 = 4842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9684 ÷ 3 = 3228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9684 ÷ 4 = 2421) | 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 | Yes (9684 ÷ 6 = 1614) | 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 | Yes (9684 ÷ 9 = 1076) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9684 ÷ 12 = 807) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9684 a prime number?
No. 9684 = × × 269, so it is divisible by 2.
What are the factors of 9684?
1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684.
What is 9684 in binary?
10010111010100 (hexadecimal 25D4, octal 22724).
What is the square root of 9684?
About 98.4073, exactly 6√269.
Is 9684 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9684?
It is a composite number with 18 divisors.