The number 9696
9696 is a composite number with 24 divisors. Its prime factorisation is × 3 × 101. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404 … 9696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9696 is composite. Its prime factorisation is
- 3
The divisors add up to 25704; without 9696 itself that is 16008, so 9696 is abundant (16008 is more than 9696). Euler's totient φ(9696) = 3200 numbers up to 9696 share no factor with it.
- 4
The digits of 9696 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9696 = 2^{5} \times 3 \times 101 \]9696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25704 |
| Euler totient φ(n) | 3200 |
| Square | 94012416 |
| Cube | 911544385536 |
| Square root | 98.468269 (= 4√606) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.696 × |
9696 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and ninety-six |
| Binary (base 2) | 10010111100000 |
| Octal (base 8) | 22740 |
| Hexadecimal (base 16) | 25E0 |
| Base 3 | 111022010 |
| As time | 9696 seconds = 2 h 41 min 36 s |
Is 9696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9696 ÷ 2 = 4848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9696 ÷ 3 = 3232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9696 ÷ 4 = 2424) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9696 ÷ 6 = 1616) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (9696 ÷ 8 = 1212) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9696 ÷ 12 = 808) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9696 a prime number?
No. 9696 = × 3 × 101, so it is divisible by 2.
What are the factors of 9696?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696.
What is 9696 in binary?
10010111100000 (hexadecimal 25E0, octal 22740).
What is the square root of 9696?
About 98.4683, exactly 4√606.
Is 9696 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9696?
It is a composite number with 24 divisors.