The number 17490
17490 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 53. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 53, 55, 66, 106, 110 … 17490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17490 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17490 is composite. Its prime factorisation is
- 3
The divisors add up to 46656; without 17490 itself that is 29166, so 17490 is abundant (29166 is more than 17490). Euler's totient φ(17490) = 4160 numbers up to 17490 share no factor with it.
- 4
The digits of 17490 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17490 = 2 \times 3 \times 5 \times 11 \times 53 \]
17490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 46656 |
| Euler totient φ(n) | 4160 |
| Square | 305900100 |
| Cube | 5350192749000 |
| Square root | 132.249764 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.749 × |
17490 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and ninety |
| Binary (base 2) | 100010001010010 |
| Octal (base 8) | 42122 |
| Hexadecimal (base 16) | 4452 |
| Base 3 | 212222210 |
| As time | 17490 seconds = 4 h 51 min 30 s |
Is 17490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17490 ÷ 2 = 8745) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17490 ÷ 3 = 5830) | 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 (17490 ÷ 5 = 3498) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17490 ÷ 6 = 2915) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17490 ÷ 10 = 1749) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17490 ÷ 11 = 1590) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17490 a prime number?
No. 17490 = 2 × 3 × 5 × 11 × 53, so it is divisible by 2.
What are the factors of 17490?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 53, 55, 66, 106, 110, 159, 165, 265, 318, 330, 530, 583, 795, 1166, 1590, 1749, 2915, 3498, 5830, 8745, 17490.
What is 17490 in binary?
100010001010010 (hexadecimal 4452, octal 42122).
What is the square root of 17490?
About 132.2498.
Is 17490 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 17490?
It is a composite number with 32 divisors.