The number 9788
9788 is a composite number with 6 divisors. Its prime factorisation is × 2447. Divisors (6): 1, 2, 4, 2447, 4894, 9788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9788 is composite. Its prime factorisation is
- 3
The divisors add up to 17136; without 9788 itself that is 7348, so 9788 is deficient (7348 is less than 9788). Euler's totient φ(9788) = 4892 numbers up to 9788 share no factor with it.
- 4
The digits of 9788 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9788 = 2^{2} \times 2447 \]9788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17136 |
| Euler totient φ(n) | 4892 |
| Square | 95804944 |
| Cube | 937738791872 |
| Square root | 98.934322 (= 2√2447) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.788 × |
9788 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and eighty-eight |
| Binary (base 2) | 10011000111100 |
| Octal (base 8) | 23074 |
| Hexadecimal (base 16) | 263C |
| Base 3 | 111102112 |
| As time | 9788 seconds = 2 h 43 min 8 s |
Is 9788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9788 ÷ 2 = 4894) | 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 (9788 ÷ 4 = 2447) | 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 2) | 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 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 9788 a prime number?
No. 9788 = × 2447, so it is divisible by 2.
What are the factors of 9788?
1, 2, 4, 2447, 4894, 9788.
What is 9788 in binary?
10011000111100 (hexadecimal 263C, octal 23074).
What is the square root of 9788?
About 98.9343, exactly 2√2447.
Is 9788 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 9788?
It is a composite number with 6 divisors.