The number 9675
9675 is a composite number with 18 divisors. Its prime factorisation is × × 43. Divisors (18): 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935 … 9675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9675 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9675 is composite. Its prime factorisation is
- 3
The divisors add up to 17732; without 9675 itself that is 8057, so 9675 is deficient (8057 is less than 9675). Euler's totient φ(9675) = 5040 numbers up to 9675 share no factor with it.
- 4
The digits of 9675 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9675 = 3^{2} \times 5^{2} \times 43 \]9675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 17732 |
| Euler totient φ(n) | 5040 |
| Square | 93605625 |
| Cube | 905634421875 |
| Square root | 98.361578 (= 15√43) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.675 × |
9675 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and seventy-five |
| Binary (base 2) | 10010111001011 |
| Octal (base 8) | 22713 |
| Hexadecimal (base 16) | 25CB |
| Base 3 | 111021100 |
| As time | 9675 seconds = 2 h 41 min 15 s |
Is 9675 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 (9675 ÷ 3 = 3225) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9675 ÷ 5 = 1935) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9675 ÷ 9 = 1075) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9675 a prime number?
No. 9675 = × × 43, so it is divisible by 3.
What are the factors of 9675?
1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675.
What is 9675 in binary?
10010111001011 (hexadecimal 25CB, octal 22713).
What is the square root of 9675?
About 98.3616, exactly 15√43.
Is 9675 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9675?
It is a composite number with 18 divisors.