The number 80168
80168 is a composite number with 16 divisors. Its prime factorisation is × 11 × 911. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 911, 1822, 3644, 7288, 10021, 20042, 40084, 80168.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80168 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 80168 itself that is 83992, so 80168 is abundant (83992 is more than 80168). Euler's totient φ(80168) = 36400 numbers up to 80168 share no factor with it.
- 4
The digits of 80168 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80168 = 2^{3} \times 11 \times 911 \]80168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 36400 |
| Square | 6426908224 |
| Cube | 515232378501632 |
| Square root | 283.139542 (= 2√20042) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0168 × |
80168 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and sixty-eight |
| Binary (base 2) | 10011100100101000 |
| Octal (base 8) | 234450 |
| Hexadecimal (base 16) | 13928 |
| Base 3 | 11001222012 |
| As time | 80168 seconds = 22 h 16 min 8 s |
Is 80168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80168 ÷ 2 = 40084) | 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 (80168 ÷ 4 = 20042) | 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 (80168 ÷ 8 = 10021) | 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 | Yes (80168 ÷ 11 = 7288) | 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 80168 a prime number?
No. 80168 = × 11 × 911, so it is divisible by 2.
What are the factors of 80168?
1, 2, 4, 8, 11, 22, 44, 88, 911, 1822, 3644, 7288, 10021, 20042, 40084, 80168.
What is 80168 in binary?
10011100100101000 (hexadecimal 13928, octal 234450).
What is the square root of 80168?
About 283.1395, exactly 2√20042.
Is 80168 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 80168?
It is a composite number with 16 divisors.