The number 42222
42222 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 227. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 227, 454, 681, 1362, 7037, 14074, 21111, 42222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42222: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42222 is composite. Its prime factorisation is
- 3
The divisors add up to 87552; without 42222 itself that is 45330, so 42222 is abundant (45330 is more than 42222). Euler's totient φ(42222) = 13560 numbers up to 42222 share no factor with it.
- 4
The digits of 42222 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42222 = 2 \times 3 \times 31 \times 227 \]
42222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87552 |
| Euler totient φ(n) | 13560 |
| Square | 1782697284 |
| Cube | 75269044725048 |
| Square root | 205.479926 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2222 × |
42222 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty-two |
| Binary (base 2) | 1010010011101110 |
| Octal (base 8) | 122356 |
| Hexadecimal (base 16) | A4EE |
| Base 3 | 2010220210 |
| As time | 42222 seconds = 11 h 43 min 42 s |
Is 42222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42222 ÷ 2 = 21111) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42222 ÷ 3 = 14074) | 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 (42222 ÷ 6 = 7037) | 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 4) | 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 42222 a prime number?
No. 42222 = 2 × 3 × 31 × 227, so it is divisible by 2.
What are the factors of 42222?
1, 2, 3, 6, 31, 62, 93, 186, 227, 454, 681, 1362, 7037, 14074, 21111, 42222.
What is 42222 in binary?
1010010011101110 (hexadecimal A4EE, octal 122356).
What is the square root of 42222?
About 205.4799.
Is 42222 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42222?
42222 is a happy number: repeatedly adding the squares of its digits reaches 1.