The number 17125
17125 is a composite number with 8 divisors. Its prime factorisation is Ć 137. Divisors (8): 1, 5, 25, 125, 137, 685, 3425, 17125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17125 is composite. Its prime factorisation is
- 3
The divisors add up to 21528; without 17125 itself that is 4403, so 17125 is deficient (4403 is less than 17125). Euler's totient Ļ(17125) = 13600 numbers up to 17125 share no factor with it.
- 4
The digits of 17125 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17125 = 5^{3} \times 137 \]17125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21528 |
| Euler totient Ļ(n) | 13600 |
| Square | 293265625 |
| Cube | 5022173828125 |
| Square root | 130.862523 (= 5ā685) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7125 Ć |
17125 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and twenty-five |
| Binary (base 2) | 100001011100101 |
| Octal (base 8) | 41345 |
| Hexadecimal (base 16) | 42E5 |
| Base 3 | 212111021 |
| As time | 17125 seconds = 4 h 45 min 25 s |
Is 17125 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 1) | 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 (17125 Ć· 5 = 3425) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17125 a prime number?
No. 17125 = Ć 137, so it is divisible by 5.
What are the factors of 17125?
1, 5, 25, 125, 137, 685, 3425, 17125.
What is 17125 in binary?
100001011100101 (hexadecimal 42E5, octal 41345).
What is the square root of 17125?
About 130.8625, exactly 5ā685.
Is 17125 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17125?
It is a composite number with 8 divisors.