The number 17120
17120 is a composite number with 24 divisors. Its prime factorisation is × 5 × 107. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 107, 160, 214, 428, 535 … 17120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17120 is composite. Its prime factorisation is
- 3
The divisors add up to 40824; without 17120 itself that is 23704, so 17120 is abundant (23704 is more than 17120). Euler's totient φ(17120) = 6784 numbers up to 17120 share no factor with it.
- 4
The digits of 17120 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17120 = 2^{5} \times 5 \times 107 \]17120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40824 |
| Euler totient φ(n) | 6784 |
| Square | 293094400 |
| Cube | 5017776128000 |
| Square root | 130.843418 (= 4√1070) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.712 × |
17120 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and twenty |
| Binary (base 2) | 100001011100000 |
| Octal (base 8) | 41340 |
| Hexadecimal (base 16) | 42E0 |
| Base 3 | 212111002 |
| As time | 17120 seconds = 4 h 45 min 20 s |
Is 17120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17120 ÷ 2 = 8560) | 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 | Yes (17120 ÷ 4 = 4280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17120 ÷ 5 = 3424) | 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 5) | 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 (17120 ÷ 8 = 2140) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17120 ÷ 10 = 1712) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17120 a prime number?
No. 17120 = × 5 × 107, so it is divisible by 2.
What are the factors of 17120?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 107, 160, 214, 428, 535, 856, 1070, 1712, 2140, 3424, 4280, 8560, 17120.
What is 17120 in binary?
100001011100000 (hexadecimal 42E0, octal 41340).
What is the square root of 17120?
About 130.8434, exactly 4√1070.
Is 17120 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 17120?
It is a composite number with 24 divisors.