The number 9688
9688 is a composite number with 16 divisors. Its prime factorisation is × 7 × 173. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9688 is composite. Its prime factorisation is
- 3
The divisors add up to 20880; without 9688 itself that is 11192, so 9688 is abundant (11192 is more than 9688). Euler's totient φ(9688) = 4128 numbers up to 9688 share no factor with it.
- 4
The digits of 9688 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9688 = 2^{3} \times 7 \times 173 \]9688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20880 |
| Euler totient φ(n) | 4128 |
| Square | 93857344 |
| Cube | 909289948672 |
| Square root | 98.427638 (= 2√2422) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.688 × |
9688 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and eighty-eight |
| Binary (base 2) | 10010111011000 |
| Octal (base 8) | 22730 |
| Hexadecimal (base 16) | 25D8 |
| Base 3 | 111021211 |
| As time | 9688 seconds = 2 h 41 min 28 s |
Is 9688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9688 ÷ 2 = 4844) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9688 ÷ 4 = 2422) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9688 ÷ 7 = 1384) | 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 (9688 ÷ 8 = 1211) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9688 a prime number?
No. 9688 = × 7 × 173, so it is divisible by 2.
What are the factors of 9688?
1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688.
What is 9688 in binary?
10010111011000 (hexadecimal 25D8, octal 22730).
What is the square root of 9688?
About 98.4276, exactly 2√2422.
Is 9688 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9688?
It is a composite number with 16 divisors.