The number 42022
42022 is a composite number with 4 divisors. Its prime factorisation is 2 × 21011. Divisors (4): 1, 2, 21011, 42022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42022: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21011, the product of two primes.
- 2
42022 is composite. Its prime factorisation is
- 3
The divisors add up to 63036; without 42022 itself that is 21014, so 42022 is deficient (21014 is less than 42022). Euler's totient φ(42022) = 21010 numbers up to 42022 share no factor with it.
- 4
The digits of 42022 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42022 = 2 \times 21011 \]
42022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63036 |
| Euler totient φ(n) | 21010 |
| Square | 1765848484 |
| Cube | 74204484994648 |
| Square root | 204.992683 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2022 × |
42022 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and twenty-two |
| Binary (base 2) | 1010010000100110 |
| Octal (base 8) | 122046 |
| Hexadecimal (base 16) | A426 |
| Base 3 | 2010122101 |
| As time | 42022 seconds = 11 h 40 min 22 s |
Is 42022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42022 ÷ 2 = 21011) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42022 a prime number?
No. 42022 = 2 × 21011, so it is divisible by 2.
What are the factors of 42022?
1, 2, 21011, 42022.
What is 42022 in binary?
1010010000100110 (hexadecimal A426, octal 122046).
What is the square root of 42022?
About 204.9927.
Is 42022 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 42022?
42022 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21011, the product of two primes.