The number 17001
17001 is a composite number with 6 divisors. Its prime factorisation is × 1889. Divisors (6): 1, 3, 9, 1889, 5667, 17001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17001: a Harshad number: divisible by its digit sum 9.
- 2
17001 is composite. Its prime factorisation is
- 3
The divisors add up to 24570; without 17001 itself that is 7569, so 17001 is deficient (7569 is less than 17001). Euler's totient φ(17001) = 11328 numbers up to 17001 share no factor with it.
- 4
The digits of 17001 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 203 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17001 = 3^{2} \times 1889 \]17001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24570 |
| Euler totient φ(n) | 11328 |
| Square | 289034001 |
| Cube | 4913867051001 |
| Square root | 130.387883 (= 3√1889) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 203 |
| Scientific notation | 1.7001 × |
17001 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and one |
| Binary (base 2) | 100001001101001 |
| Octal (base 8) | 41151 |
| Hexadecimal (base 16) | 4269 |
| Base 3 | 212022200 |
| As time | 17001 seconds = 4 h 43 min 21 s |
Is 17001 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 (17001 ÷ 3 = 5667) | 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 | No (remainder 1) | 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 5) | 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 | Yes (17001 ÷ 9 = 1889) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 17001 a prime number?
No. 17001 = × 1889, so it is divisible by 3.
What are the factors of 17001?
1, 3, 9, 1889, 5667, 17001.
What is 17001 in binary?
100001001101001 (hexadecimal 4269, octal 41151).
What is the square root of 17001?
About 130.3879, exactly 3√1889.
Is 17001 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 17001?
17001 is a Harshad number: divisible by its digit sum 9.