The number 422
422 is a composite number with 4 divisors. Its prime factorisation is 2 × 211. Divisors (4): 1, 2, 211, 422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 422: a semiprime: 2 × 211, the product of two primes.
- 2
422 is composite. Its prime factorisation is
- 3
The divisors add up to 636; without 422 itself that is 214, so 422 is deficient (214 is less than 422). Euler's totient φ(422) = 210 numbers up to 422 share no factor with it.
- 4
The digits of 422 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 422 = 2 \times 211 \]
422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 636 |
| Euler totient φ(n) | 210 |
| Square | 178084 |
| Cube | 75151448 |
| Square root | 20.542639 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 40 |
| Scientific notation | 4.22 × |
422 in other forms
| Form | Value |
|---|---|
| In words | four hundred and twenty-two |
| Roman numerals | CDXXII |
| Binary (base 2) | 110100110 |
| Octal (base 8) | 646 |
| Hexadecimal (base 16) | 1A6 |
| Base 3 | 120122 |
| As time | 422 seconds = 7 min 2 s |
Is 422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (422 ÷ 2 = 211) | 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 2) | 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 4) | 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 422 a prime number?
No. 422 = 2 × 211, so it is divisible by 2.
What are the factors of 422?
1, 2, 211, 422.
What is 422 in binary?
110100110 (hexadecimal 1A6, octal 646).
What is the square root of 422?
About 20.5426.
What is 422 in Roman numerals?
CDXXII.
Is 422 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 422?
422 is a semiprime: 2 × 211, the product of two primes.