The number 8025
8025 is a composite number with 12 divisors. Its prime factorisation is 3 × × 107. Divisors (12): 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8025: a Harshad number: divisible by its digit sum 15.
- 2
8025 is composite. Its prime factorisation is
- 3
The divisors add up to 13392; without 8025 itself that is 5367, so 8025 is deficient (5367 is less than 8025). Euler's totient φ(8025) = 4240 numbers up to 8025 share no factor with it.
- 4
The digits of 8025 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8025 = 3 \times 5^{2} \times 107 \]8025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13392 |
| Euler totient φ(n) | 4240 |
| Square | 64400625 |
| Cube | 516815015625 |
| Square root | 89.582364 (= 5√321) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.025 × |
8025 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and twenty-five |
| Binary (base 2) | 1111101011001 |
| Octal (base 8) | 17531 |
| Hexadecimal (base 16) | 1F59 |
| Base 3 | 102000020 |
| As time | 8025 seconds = 2 h 13 min 45 s |
Is 8025 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 (8025 ÷ 3 = 2675) | 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 (8025 ÷ 5 = 1605) | 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 3) | 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 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 6) | 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 8025 a prime number?
No. 8025 = 3 × × 107, so it is divisible by 3.
What are the factors of 8025?
1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025.
What is 8025 in binary?
1111101011001 (hexadecimal 1F59, octal 17531).
What is the square root of 8025?
About 89.5824, exactly 5√321.
Is 8025 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8025?
8025 is a Harshad number: divisible by its digit sum 15.