The number 9760
9760 is a composite number with 24 divisors. Its prime factorisation is × 5 × 61. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305 … 9760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9760 is composite. Its prime factorisation is
- 3
The divisors add up to 23436; without 9760 itself that is 13676, so 9760 is abundant (13676 is more than 9760). Euler's totient φ(9760) = 3840 numbers up to 9760 share no factor with it.
- 4
The digits of 9760 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9760 = 2^{5} \times 5 \times 61 \]9760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 23436 |
| Euler totient φ(n) | 3840 |
| Square | 95257600 |
| Cube | 929714176000 |
| Square root | 98.792712 (= 4√610) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.76 × |
9760 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and sixty |
| Binary (base 2) | 10011000100000 |
| Octal (base 8) | 23040 |
| Hexadecimal (base 16) | 2620 |
| Base 3 | 111101111 |
| As time | 9760 seconds = 2 h 42 min 40 s |
Is 9760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9760 ÷ 2 = 4880) | 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 (9760 ÷ 4 = 2440) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9760 ÷ 5 = 1952) | 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 | No (remainder 2) | 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 (9760 ÷ 8 = 1220) | 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 | Yes (9760 ÷ 10 = 976) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 9760 a prime number?
No. 9760 = × 5 × 61, so it is divisible by 2.
What are the factors of 9760?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760.
What is 9760 in binary?
10011000100000 (hexadecimal 2620, octal 23040).
What is the square root of 9760?
About 98.7927, exactly 4√610.
Is 9760 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9760?
It is a composite number with 24 divisors.