The number 9764
9764 is a composite number with 6 divisors. Its prime factorisation is × 2441. Divisors (6): 1, 2, 4, 2441, 4882, 9764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9764 is composite. Its prime factorisation is
- 3
The divisors add up to 17094; without 9764 itself that is 7330, so 9764 is deficient (7330 is less than 9764). Euler's totient φ(9764) = 4880 numbers up to 9764 share no factor with it.
- 4
The digits of 9764 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9764 = 2^{2} \times 2441 \]9764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17094 |
| Euler totient φ(n) | 4880 |
| Square | 95335696 |
| Cube | 930857735744 |
| Square root | 98.812955 (= 2√2441) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.764 × |
9764 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and sixty-four |
| Binary (base 2) | 10011000100100 |
| Octal (base 8) | 23044 |
| Hexadecimal (base 16) | 2624 |
| Base 3 | 111101122 |
| As time | 9764 seconds = 2 h 42 min 44 s |
Is 9764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9764 ÷ 2 = 4882) | 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 (9764 ÷ 4 = 2441) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 9764 a prime number?
No. 9764 = × 2441, so it is divisible by 2.
What are the factors of 9764?
1, 2, 4, 2441, 4882, 9764.
What is 9764 in binary?
10011000100100 (hexadecimal 2624, octal 23044).
What is the square root of 9764?
About 98.8130, exactly 2√2441.
Is 9764 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9764?
It is a composite number with 6 divisors.