The number 4022
4022 is a composite number with 4 divisors. Its prime factorisation is 2 × 2011. Divisors (4): 1, 2, 2011, 4022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4022: a semiprime: 2 × 2011, the product of two primes.
- 2
4022 is composite. Its prime factorisation is
- 3
The divisors add up to 6036; without 4022 itself that is 2014, so 4022 is deficient (2014 is less than 4022). Euler's totient φ(4022) = 2010 numbers up to 4022 share no factor with it.
- 4
The digits of 4022 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4022 = 2 \times 2011 \]
4022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6036 |
| Euler totient φ(n) | 2010 |
| Square | 16176484 |
| Cube | 65061818648 |
| Square root | 63.419240 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 4.022 × |
4022 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twenty-two |
| Binary (base 2) | 111110110110 |
| Octal (base 8) | 7666 |
| Hexadecimal (base 16) | FB6 |
| Base 3 | 12111222 |
| As time | 4022 seconds = 1 h 7 min 2 s |
Is 4022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4022 ÷ 2 = 2011) | 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 | 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 | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4022 a prime number?
No. 4022 = 2 × 2011, so it is divisible by 2.
What are the factors of 4022?
1, 2, 2011, 4022.
What is 4022 in binary?
111110110110 (hexadecimal FB6, octal 7666).
What is the square root of 4022?
About 63.4192.
Is 4022 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 4022?
4022 is a semiprime: 2 × 2011, the product of two primes.