The number 9680
9680 is a composite number with 30 divisors. Its prime factorisation is × 5 × . Divisors (30): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110 … 9680.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9680 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9680 is composite. Its prime factorisation is
- 3
The divisors add up to 24738; without 9680 itself that is 15058, so 9680 is abundant (15058 is more than 9680). Euler's totient φ(9680) = 3520 numbers up to 9680 share no factor with it.
- 4
The digits of 9680 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9680 = 2^{4} \times 5 \times 11^{2} \]9680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 24738 |
| Euler totient φ(n) | 3520 |
| Square | 93702400 |
| Cube | 907039232000 |
| Square root | 98.386991 (= 44√5) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 21 |
| Scientific notation | 9.68 × |
9680 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and eighty |
| Binary (base 2) | 10010111010000 |
| Octal (base 8) | 22720 |
| Hexadecimal (base 16) | 25D0 |
| Base 3 | 111021112 |
| As time | 9680 seconds = 2 h 41 min 20 s |
Is 9680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9680 ÷ 2 = 4840) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9680 ÷ 4 = 2420) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9680 ÷ 5 = 1936) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (9680 ÷ 8 = 1210) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9680 ÷ 10 = 968) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9680 ÷ 11 = 880) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9680 a prime number?
No. 9680 = × 5 × , so it is divisible by 2.
What are the factors of 9680?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680.
What is 9680 in binary?
10010111010000 (hexadecimal 25D0, octal 22720).
What is the square root of 9680?
About 98.3870, exactly 44√5.
Is 9680 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9680?
It is a composite number with 30 divisors.