The number 8022
8022 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 191. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8022 is composite. Its prime factorisation is
- 3
The divisors add up to 18432; without 8022 itself that is 10410, so 8022 is abundant (10410 is more than 8022). Euler's totient φ(8022) = 2280 numbers up to 8022 share no factor with it.
- 4
The digits of 8022 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8022 = 2 \times 3 \times 7 \times 191 \]
8022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18432 |
| Euler totient φ(n) | 2280 |
| Square | 64352484 |
| Cube | 516235626648 |
| Square root | 89.565618 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 189 |
| Scientific notation | 8.022 × |
8022 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and twenty-two |
| Binary (base 2) | 1111101010110 |
| Octal (base 8) | 17526 |
| Hexadecimal (base 16) | 1F56 |
| Base 3 | 102000010 |
| As time | 8022 seconds = 2 h 13 min 42 s |
Is 8022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8022 ÷ 2 = 4011) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8022 ÷ 3 = 2674) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8022 ÷ 6 = 1337) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8022 ÷ 7 = 1146) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8022 a prime number?
No. 8022 = 2 × 3 × 7 × 191, so it is divisible by 2.
What are the factors of 8022?
1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022.
What is 8022 in binary?
1111101010110 (hexadecimal 1F56, octal 17526).
What is the square root of 8022?
About 89.5656.
Is 8022 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 8022?
It is a composite number with 16 divisors.