The number 17290
17290 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 13 × 19. Divisors (32): 1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130 … 17290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17290: a Harshad number: divisible by its digit sum 19.
- 2
17290 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 17290 itself that is 23030, so 17290 is abundant (23030 is more than 17290). Euler's totient φ(17290) = 5184 numbers up to 17290 share no factor with it.
- 4
The digits of 17290 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17290 = 2 \times 5 \times 7 \times 13 \times 19 \]
17290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 5184 |
| Square | 298944100 |
| Cube | 5168743489000 |
| Square root | 131.491445 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.729 × |
17290 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and ninety |
| Binary (base 2) | 100001110001010 |
| Octal (base 8) | 41612 |
| Hexadecimal (base 16) | 438A |
| Base 3 | 212201101 |
| As time | 17290 seconds = 4 h 48 min 10 s |
Is 17290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17290 ÷ 2 = 8645) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17290 ÷ 5 = 3458) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17290 ÷ 7 = 2470) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17290 ÷ 10 = 1729) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17290 a prime number?
No. 17290 = 2 × 5 × 7 × 13 × 19, so it is divisible by 2.
What are the factors of 17290?
1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645, 17290.
What is 17290 in binary?
100001110001010 (hexadecimal 438A, octal 41612).
What is the square root of 17290?
About 131.4914.
Is 17290 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17290?
17290 is a Harshad number: divisible by its digit sum 19.