The number 9375
9375 is a composite number with 12 divisors. Its prime factorisation is 3 × . Divisors (12): 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9375 is composite. Its prime factorisation is
- 3
The divisors add up to 15624; without 9375 itself that is 6249, so 9375 is deficient (6249 is less than 9375). Euler's totient φ(9375) = 5000 numbers up to 9375 share no factor with it.
- 4
The digits of 9375 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9375 = 3 \times 5^{5} \]9375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15624 |
| Euler totient φ(n) | 5000 |
| Square | 87890625 |
| Cube | 823974609375 |
| Square root | 96.824584 (= 25√15) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.375 × |
9375 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and seventy-five |
| Binary (base 2) | 10010010011111 |
| Octal (base 8) | 22237 |
| Hexadecimal (base 16) | 249F |
| Base 3 | 110212020 |
| As time | 9375 seconds = 2 h 36 min 15 s |
Is 9375 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 (9375 ÷ 3 = 3125) | 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 (9375 ÷ 5 = 1875) | 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 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 9375 a prime number?
No. 9375 = 3 × , so it is divisible by 3.
What are the factors of 9375?
1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375.
What is 9375 in binary?
10010010011111 (hexadecimal 249F, octal 22237).
What is the square root of 9375?
About 96.8246, exactly 25√15.
Is 9375 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9375?
It is a composite number with 12 divisors.