The number 17140
17140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 857. Divisors (12): 1, 2, 4, 5, 10, 20, 857, 1714, 3428, 4285, 8570, 17140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17140 is composite. Its prime factorisation is
- 3
The divisors add up to 36036; without 17140 itself that is 18896, so 17140 is abundant (18896 is more than 17140). Euler's totient φ(17140) = 6848 numbers up to 17140 share no factor with it.
- 4
The digits of 17140 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17140 = 2^{2} \times 5 \times 857 \]17140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36036 |
| Euler totient φ(n) | 6848 |
| Square | 293779600 |
| Cube | 5035382344000 |
| Square root | 130.919823 (= 2√4285) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.714 × |
17140 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and forty |
| Binary (base 2) | 100001011110100 |
| Octal (base 8) | 41364 |
| Hexadecimal (base 16) | 42F4 |
| Base 3 | 212111211 |
| As time | 17140 seconds = 4 h 45 min 40 s |
Is 17140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17140 ÷ 2 = 8570) | 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 (17140 ÷ 4 = 4285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17140 ÷ 5 = 3428) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17140 ÷ 10 = 1714) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 17140 a prime number?
No. 17140 = × 5 × 857, so it is divisible by 2.
What are the factors of 17140?
1, 2, 4, 5, 10, 20, 857, 1714, 3428, 4285, 8570, 17140.
What is 17140 in binary?
100001011110100 (hexadecimal 42F4, octal 41364).
What is the square root of 17140?
About 130.9198, exactly 2√4285.
Is 17140 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17140?
It is a composite number with 12 divisors.