The number 17000
17000 is a composite number with 32 divisors. Its prime factorisation is × × 17. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 125 … 17000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17000: a Harshad number: divisible by its digit sum 8.
- 2
17000 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 17000 itself that is 25120, so 17000 is abundant (25120 is more than 17000). Euler's totient φ(17000) = 6400 numbers up to 17000 share no factor with it.
- 4
The digits of 17000 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17000 = 2^{3} \times 5^{3} \times 17 \]17000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 6400 |
| Square | 289000000 |
| Cube | 4913000000000 |
| Square root | 130.384048 (= 10√170) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7 × |
17000 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand |
| Binary (base 2) | 100001001101000 |
| Octal (base 8) | 41150 |
| Hexadecimal (base 16) | 4268 |
| Base 3 | 212022122 |
| As time | 17000 seconds = 4 h 43 min 20 s |
Is 17000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17000 ÷ 2 = 8500) | 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 | Yes (17000 ÷ 4 = 4250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17000 ÷ 5 = 3400) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (17000 ÷ 8 = 2125) | 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 | Yes (17000 ÷ 10 = 1700) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17000 a prime number?
No. 17000 = × × 17, so it is divisible by 2.
What are the factors of 17000?
1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 125, 136, 170, 200, 250, 340, 425, 500, 680, 850, 1000, 1700, 2125, 3400, 4250, 8500, 17000.
What is 17000 in binary?
100001001101000 (hexadecimal 4268, octal 41150).
What is the square root of 17000?
About 130.3840, exactly 10√170.
Is 17000 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 17000?
17000 is a Harshad number: divisible by its digit sum 8.