The number 17116
17116 is a composite number with 12 divisors. Its prime factorisation is × 11 × 389. Divisors (12): 1, 2, 4, 11, 22, 44, 389, 778, 1556, 4279, 8558, 17116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17116 is composite. Its prime factorisation is
- 3
The divisors add up to 32760; without 17116 itself that is 15644, so 17116 is deficient (15644 is less than 17116). Euler's totient φ(17116) = 7760 numbers up to 17116 share no factor with it.
- 4
The digits of 17116 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17116 = 2^{2} \times 11 \times 389 \]17116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32760 |
| Euler totient φ(n) | 7760 |
| Square | 292957456 |
| Cube | 5014259816896 |
| Square root | 130.828132 (= 2√4279) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7116 × |
17116 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and sixteen |
| Binary (base 2) | 100001011011100 |
| Octal (base 8) | 41334 |
| Hexadecimal (base 16) | 42DC |
| Base 3 | 212110221 |
| As time | 17116 seconds = 4 h 45 min 16 s |
Is 17116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17116 ÷ 2 = 8558) | 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 (17116 ÷ 4 = 4279) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17116 ÷ 11 = 1556) | 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 17116 a prime number?
No. 17116 = × 11 × 389, so it is divisible by 2.
What are the factors of 17116?
1, 2, 4, 11, 22, 44, 389, 778, 1556, 4279, 8558, 17116.
What is 17116 in binary?
100001011011100 (hexadecimal 42DC, octal 41334).
What is the square root of 17116?
About 130.8281, exactly 2√4279.
Is 17116 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17116?
It is a composite number with 12 divisors.