The number 17088
17088 is a composite number with 28 divisors. Its prime factorisation is × 3 × 89. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 178, 192 … 17088.
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How to work it out
- 1
What is special about 17088: a Harshad number: divisible by its digit sum 24.
- 2
17088 is composite. Its prime factorisation is
- 3
The divisors add up to 45720; without 17088 itself that is 28632, so 17088 is abundant (28632 is more than 17088). Euler's totient φ(17088) = 5632 numbers up to 17088 share no factor with it.
- 4
The digits of 17088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17088 = 2^{6} \times 3 \times 89 \]17088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 45720 |
| Euler totient φ(n) | 5632 |
| Square | 291999744 |
| Cube | 4989691625472 |
| Square root | 130.721077 (= 8√267) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7088 × |
17088 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and eighty-eight |
| Binary (base 2) | 100001011000000 |
| Octal (base 8) | 41300 |
| Hexadecimal (base 16) | 42C0 |
| Base 3 | 212102220 |
| As time | 17088 seconds = 4 h 44 min 48 s |
Is 17088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17088 ÷ 2 = 8544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17088 ÷ 3 = 5696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17088 ÷ 4 = 4272) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (17088 ÷ 6 = 2848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (17088 ÷ 8 = 2136) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (17088 ÷ 12 = 1424) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17088 a prime number?
No. 17088 = × 3 × 89, so it is divisible by 2.
What are the factors of 17088?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 178, 192, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 5696, 8544, 17088.
What is 17088 in binary?
100001011000000 (hexadecimal 42C0, octal 41300).
What is the square root of 17088?
About 130.7211, exactly 8√267.
Is 17088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 17088?
17088 is a Harshad number: divisible by its digit sum 24.