The number 4222
4222 is a composite number with 4 divisors. Its prime factorisation is 2 × 2111. Divisors (4): 1, 2, 2111, 4222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4222: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 2111, the product of two primes.
- 2
4222 is composite. Its prime factorisation is
- 3
The divisors add up to 6336; without 4222 itself that is 2114, so 4222 is deficient (2114 is less than 4222). Euler's totient φ(4222) = 2110 numbers up to 4222 share no factor with it.
- 4
The digits of 4222 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 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4222 = 2 \times 2111 \]
4222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6336 |
| Euler totient φ(n) | 2110 |
| Square | 17825284 |
| Cube | 75258349048 |
| Square root | 64.976919 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 170 |
| Scientific notation | 4.222 × |
4222 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and twenty-two |
| Binary (base 2) | 1000001111110 |
| Octal (base 8) | 10176 |
| Hexadecimal (base 16) | 107E |
| Base 3 | 12210101 |
| As time | 4222 seconds = 1 h 10 min 22 s |
Is 4222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4222 ÷ 2 = 2111) | 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 9) | 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 4222 a prime number?
No. 4222 = 2 × 2111, so it is divisible by 2.
What are the factors of 4222?
1, 2, 2111, 4222.
What is 4222 in binary?
1000001111110 (hexadecimal 107E, octal 10176).
What is the square root of 4222?
About 64.9769.
Is 4222 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4222?
4222 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 2111, the product of two primes.