The number 80022
80022 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 13337. Divisors (8): 1, 2, 3, 6, 13337, 26674, 40011, 80022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80022 is composite. Its prime factorisation is
- 3
The divisors add up to 160056; without 80022 itself that is 80034, so 80022 is abundant (80034 is more than 80022). Euler's totient φ(80022) = 26672 numbers up to 80022 share no factor with it.
- 4
The digits of 80022 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80022 = 2 \times 3 \times 13337 \]
80022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 160056 |
| Euler totient φ(n) | 26672 |
| Square | 6403520484 |
| Cube | 512422516170648 |
| Square root | 282.881601 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0022 × |
80022 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and twenty-two |
| Binary (base 2) | 10011100010010110 |
| Octal (base 8) | 234226 |
| Hexadecimal (base 16) | 13896 |
| Base 3 | 11001202210 |
| As time | 80022 seconds = 22 h 13 min 42 s |
Is 80022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80022 ÷ 2 = 40011) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80022 ÷ 3 = 26674) | 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 (80022 ÷ 6 = 13337) | 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 | 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 8) | 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 80022 a prime number?
No. 80022 = 2 × 3 × 13337, so it is divisible by 2.
What are the factors of 80022?
1, 2, 3, 6, 13337, 26674, 40011, 80022.
What is 80022 in binary?
10011100010010110 (hexadecimal 13896, octal 234226).
What is the square root of 80022?
About 282.8816.
Is 80022 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 80022?
It is a composite number with 8 divisors.