The number 8325
8325 is a composite number with 18 divisors. Its prime factorisation is × × 37. Divisors (18): 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665 … 8325.
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How to work it out
- 1
8325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8325 is composite. Its prime factorisation is
- 3
The divisors add up to 15314; without 8325 itself that is 6989, so 8325 is deficient (6989 is less than 8325). Euler's totient φ(8325) = 4320 numbers up to 8325 share no factor with it.
- 4
The digits of 8325 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8325 = 3^{2} \times 5^{2} \times 37 \]8325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 15314 |
| Euler totient φ(n) | 4320 |
| Square | 69305625 |
| Cube | 576969328125 |
| Square root | 91.241438 (= 15√37) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.325 × |
8325 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and twenty-five |
| Binary (base 2) | 10000010000101 |
| Octal (base 8) | 20205 |
| Hexadecimal (base 16) | 2085 |
| Base 3 | 102102100 |
| As time | 8325 seconds = 2 h 18 min 45 s |
Is 8325 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 (8325 ÷ 3 = 2775) | 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 | Yes (8325 ÷ 5 = 1665) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8325 ÷ 9 = 925) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8325 a prime number?
No. 8325 = × × 37, so it is divisible by 3.
What are the factors of 8325?
1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325.
What is 8325 in binary?
10000010000101 (hexadecimal 2085, octal 20205).
What is the square root of 8325?
About 91.2414, exactly 15√37.
Is 8325 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8325?
It is a composite number with 18 divisors.