The number 9789
9789 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 251. Divisors (8): 1, 3, 13, 39, 251, 753, 3263, 9789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9789 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9789 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 9789 itself that is 4323, so 9789 is deficient (4323 is less than 9789). Euler's totient φ(9789) = 6000 numbers up to 9789 share no factor with it.
- 4
The digits of 9789 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9789 = 3 \times 13 \times 251 \]
9789 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 6000 |
| Square | 95824521 |
| Cube | 938026236069 |
| Square root | 98.939375 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.789 × |
9789 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and eighty-nine |
| Binary (base 2) | 10011000111101 |
| Octal (base 8) | 23075 |
| Hexadecimal (base 16) | 263D |
| Base 3 | 111102120 |
| As time | 9789 seconds = 2 h 43 min 9 s |
Is 9789 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9789 ÷ 3 = 3263) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9789 a prime number?
No. 9789 = 3 × 13 × 251, so it is divisible by 3.
What are the factors of 9789?
1, 3, 13, 39, 251, 753, 3263, 9789.
What is 9789 in binary?
10011000111101 (hexadecimal 263D, octal 23075).
What is the square root of 9789?
About 98.9394.
Is 9789 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 9789?
It is a composite number with 8 divisors.