The number 8225
8225 is a composite number with 12 divisors. Its prime factorisation is × 7 × 47. Divisors (12): 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8225 is composite. Its prime factorisation is
- 3
The divisors add up to 11904; without 8225 itself that is 3679, so 8225 is deficient (3679 is less than 8225). Euler's totient φ(8225) = 5520 numbers up to 8225 share no factor with it.
- 4
The digits of 8225 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8225 = 5^{2} \times 7 \times 47 \]8225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11904 |
| Euler totient φ(n) | 5520 |
| Square | 67650625 |
| Cube | 556426390625 |
| Square root | 90.691786 (= 5√329) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.225 × |
8225 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and twenty-five |
| Binary (base 2) | 10000000100001 |
| Octal (base 8) | 20041 |
| Hexadecimal (base 16) | 2021 |
| Base 3 | 102021122 |
| As time | 8225 seconds = 2 h 17 min 5 s |
Is 8225 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 | No (remainder 2) | 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 (8225 ÷ 5 = 1645) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8225 ÷ 7 = 1175) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8225 a prime number?
No. 8225 = × 7 × 47, so it is divisible by 5.
What are the factors of 8225?
1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225.
What is 8225 in binary?
10000000100001 (hexadecimal 2021, octal 20041).
What is the square root of 8225?
About 90.6918, exactly 5√329.
Is 8225 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8225?
8225 is a happy number: repeatedly adding the squares of its digits reaches 1.