The number 9776
9776 is a composite number with 20 divisors. Its prime factorisation is × 13 × 47. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752 … 9776.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9776 is composite. Its prime factorisation is
- 3
The divisors add up to 20832; without 9776 itself that is 11056, so 9776 is abundant (11056 is more than 9776). Euler's totient φ(9776) = 4416 numbers up to 9776 share no factor with it.
- 4
The digits of 9776 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9776 = 2^{4} \times 13 \times 47 \]9776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 20832 |
| Euler totient φ(n) | 4416 |
| Square | 95570176 |
| Cube | 934294040576 |
| Square root | 98.873657 (= 4√611) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.776 × |
9776 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and seventy-six |
| Binary (base 2) | 10011000110000 |
| Octal (base 8) | 23060 |
| Hexadecimal (base 16) | 2630 |
| Base 3 | 111102002 |
| As time | 9776 seconds = 2 h 42 min 56 s |
Is 9776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9776 ÷ 2 = 4888) | 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 (9776 ÷ 4 = 2444) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (9776 ÷ 8 = 1222) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 9776 a prime number?
No. 9776 = × 13 × 47, so it is divisible by 2.
What are the factors of 9776?
1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776.
What is 9776 in binary?
10011000110000 (hexadecimal 2630, octal 23060).
What is the square root of 9776?
About 98.8737, exactly 4√611.
Is 9776 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9776?
It is a composite number with 20 divisors.