The number 17025
17025 is a composite number with 12 divisors. Its prime factorisation is 3 × × 227. Divisors (12): 1, 3, 5, 15, 25, 75, 227, 681, 1135, 3405, 5675, 17025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17025: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
17025 is composite. Its prime factorisation is
- 3
The divisors add up to 28272; without 17025 itself that is 11247, so 17025 is deficient (11247 is less than 17025). Euler's totient φ(17025) = 9040 numbers up to 17025 share no factor with it.
- 4
The digits of 17025 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17025 = 3 \times 5^{2} \times 227 \]17025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 28272 |
| Euler totient φ(n) | 9040 |
| Square | 289850625 |
| Cube | 4934706890625 |
| Square root | 130.479884 (= 5√681) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.7025 × |
17025 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and twenty-five |
| Binary (base 2) | 100001010000001 |
| Octal (base 8) | 41201 |
| Hexadecimal (base 16) | 4281 |
| Base 3 | 212100120 |
| As time | 17025 seconds = 4 h 43 min 45 s |
Is 17025 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 (17025 ÷ 3 = 5675) | 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 (17025 ÷ 5 = 3405) | 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 1) | 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 8) | 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 17025 a prime number?
No. 17025 = 3 × × 227, so it is divisible by 3.
What are the factors of 17025?
1, 3, 5, 15, 25, 75, 227, 681, 1135, 3405, 5675, 17025.
What is 17025 in binary?
100001010000001 (hexadecimal 4281, octal 41201).
What is the square root of 17025?
About 130.4799, exactly 5√681.
Is 17025 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 17025?
17025 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.