The number 17090
17090 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1709. Divisors (8): 1, 2, 5, 10, 1709, 3418, 8545, 17090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17090 is composite. Its prime factorisation is
- 3
The divisors add up to 30780; without 17090 itself that is 13690, so 17090 is deficient (13690 is less than 17090). Euler's totient φ(17090) = 6832 numbers up to 17090 share no factor with it.
- 4
The digits of 17090 add up to 17, 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
\[ 17090 = 2 \times 5 \times 1709 \]
17090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30780 |
| Euler totient φ(n) | 6832 |
| Square | 292068100 |
| Cube | 4991443829000 |
| Square root | 130.728727 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.709 × |
17090 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and ninety |
| Binary (base 2) | 100001011000010 |
| Octal (base 8) | 41302 |
| Hexadecimal (base 16) | 42C2 |
| Base 3 | 212102222 |
| As time | 17090 seconds = 4 h 44 min 50 s |
Is 17090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17090 ÷ 2 = 8545) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17090 ÷ 5 = 3418) | 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 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 2) | 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 (17090 ÷ 10 = 1709) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17090 a prime number?
No. 17090 = 2 × 5 × 1709, so it is divisible by 2.
What are the factors of 17090?
1, 2, 5, 10, 1709, 3418, 8545, 17090.
What is 17090 in binary?
100001011000010 (hexadecimal 42C2, octal 41302).
What is the square root of 17090?
About 130.7287.
Is 17090 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17090?
It is a composite number with 8 divisors.