The number 17168
17168 is a composite number with 20 divisors. Its prime factorisation is × 29 × 37. Divisors (20): 1, 2, 4, 8, 16, 29, 37, 58, 74, 116, 148, 232, 296, 464, 592, 1073 … 17168.
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How to work it out
- 1
17168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17168 is composite. Its prime factorisation is
- 3
The divisors add up to 35340; without 17168 itself that is 18172, so 17168 is abundant (18172 is more than 17168). Euler's totient φ(17168) = 8064 numbers up to 17168 share no factor with it.
- 4
The digits of 17168 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17168 = 2^{4} \times 29 \times 37 \]17168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 35340 |
| Euler totient φ(n) | 8064 |
| Square | 294740224 |
| Cube | 5060100165632 |
| Square root | 131.026715 (= 4√1073) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7168 × |
17168 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and sixty-eight |
| Binary (base 2) | 100001100010000 |
| Octal (base 8) | 41420 |
| Hexadecimal (base 16) | 4310 |
| Base 3 | 212112212 |
| As time | 17168 seconds = 4 h 46 min 8 s |
Is 17168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17168 ÷ 2 = 8584) | 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 (17168 ÷ 4 = 4292) | 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 | No (remainder 2) | 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 | Yes (17168 ÷ 8 = 2146) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 17168 a prime number?
No. 17168 = × 29 × 37, so it is divisible by 2.
What are the factors of 17168?
1, 2, 4, 8, 16, 29, 37, 58, 74, 116, 148, 232, 296, 464, 592, 1073, 2146, 4292, 8584, 17168.
What is 17168 in binary?
100001100010000 (hexadecimal 4310, octal 41420).
What is the square root of 17168?
About 131.0267, exactly 4√1073.
Is 17168 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 17168?
It is a composite number with 20 divisors.