The number 16168
16168 is a composite number with 16 divisors. Its prime factorisation is × 43 × 47. Divisors (16): 1, 2, 4, 8, 43, 47, 86, 94, 172, 188, 344, 376, 2021, 4042, 8084, 16168.
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How to work it out
- 1
16168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16168 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 16168 itself that is 15512, so 16168 is deficient (15512 is less than 16168). Euler's totient φ(16168) = 7728 numbers up to 16168 share no factor with it.
- 4
The digits of 16168 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16168 = 2^{3} \times 43 \times 47 \]16168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 7728 |
| Square | 261404224 |
| Cube | 4226383493632 |
| Square root | 127.153451 (= 2√4042) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6168 × |
16168 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and sixty-eight |
| Binary (base 2) | 11111100101000 |
| Octal (base 8) | 37450 |
| Hexadecimal (base 16) | 3F28 |
| Base 3 | 211011211 |
| As time | 16168 seconds = 4 h 29 min 28 s |
Is 16168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16168 ÷ 2 = 8084) | 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 (16168 ÷ 4 = 4042) | 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 4) | 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 (16168 ÷ 8 = 2021) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 16168 a prime number?
No. 16168 = × 43 × 47, so it is divisible by 2.
What are the factors of 16168?
1, 2, 4, 8, 43, 47, 86, 94, 172, 188, 344, 376, 2021, 4042, 8084, 16168.
What is 16168 in binary?
11111100101000 (hexadecimal 3F28, octal 37450).
What is the square root of 16168?
About 127.1535, exactly 2√4042.
Is 16168 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16168?
It is a composite number with 16 divisors.