The number 17080
17080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 61. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 61, 70, 122 … 17080.
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How to work it out
- 1
17080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17080 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 17080 itself that is 27560, so 17080 is abundant (27560 is more than 17080). Euler's totient φ(17080) = 5760 numbers up to 17080 share no factor with it.
- 4
The digits of 17080 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17080 = 2^{3} \times 5 \times 7 \times 61 \]17080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 5760 |
| Square | 291726400 |
| Cube | 4982686912000 |
| Square root | 130.690474 (= 2√4270) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.708 × |
17080 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and eighty |
| Binary (base 2) | 100001010111000 |
| Octal (base 8) | 41270 |
| Hexadecimal (base 16) | 42B8 |
| Base 3 | 212102121 |
| As time | 17080 seconds = 4 h 44 min 40 s |
Is 17080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17080 ÷ 2 = 8540) | 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 | Yes (17080 ÷ 4 = 4270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17080 ÷ 5 = 3416) | 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 (17080 ÷ 7 = 2440) | 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 (17080 ÷ 8 = 2135) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17080 ÷ 10 = 1708) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17080 a prime number?
No. 17080 = × 5 × 7 × 61, so it is divisible by 2.
What are the factors of 17080?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 61, 70, 122, 140, 244, 280, 305, 427, 488, 610, 854, 1220, 1708, 2135, 2440, 3416, 4270, 8540, 17080.
What is 17080 in binary?
100001010111000 (hexadecimal 42B8, octal 41270).
What is the square root of 17080?
About 130.6905, exactly 2√4270.
Is 17080 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17080?
It is a composite number with 32 divisors.