The number 9315
9315 is a composite number with 20 divisors. Its prime factorisation is × 5 × 23. Divisors (20): 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621 … 9315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9315 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9315 is composite. Its prime factorisation is
- 3
The divisors add up to 17424; without 9315 itself that is 8109, so 9315 is deficient (8109 is less than 9315). Euler's totient φ(9315) = 4752 numbers up to 9315 share no factor with it.
- 4
The digits of 9315 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9315 = 3^{4} \times 5 \times 23 \]9315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 17424 |
| Euler totient φ(n) | 4752 |
| Square | 86769225 |
| Cube | 808255330875 |
| Square root | 96.514248 (= 9√115) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.315 × |
9315 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and fifteen |
| Binary (base 2) | 10010001100011 |
| Octal (base 8) | 22143 |
| Hexadecimal (base 16) | 2463 |
| Base 3 | 110210000 |
| As time | 9315 seconds = 2 h 35 min 15 s |
Is 9315 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 (9315 ÷ 3 = 3105) | 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 (9315 ÷ 5 = 1863) | 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 5) | 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 (9315 ÷ 9 = 1035) | 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 9) | 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 9315 a prime number?
No. 9315 = × 5 × 23, so it is divisible by 3.
What are the factors of 9315?
1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315.
What is 9315 in binary?
10010001100011 (hexadecimal 2463, octal 22143).
What is the square root of 9315?
About 96.5142, exactly 9√115.
Is 9315 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9315?
It is a composite number with 20 divisors.