The number 22242
22242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 337. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 337, 674, 1011, 2022, 3707, 7414, 11121, 22242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22242: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22242 is composite. Its prime factorisation is
- 3
The divisors add up to 48672; without 22242 itself that is 26430, so 22242 is abundant (26430 is more than 22242). Euler's totient φ(22242) = 6720 numbers up to 22242 share no factor with it.
- 4
The digits of 22242 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22242 = 2 \times 3 \times 11 \times 337 \]
22242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48672 |
| Euler totient φ(n) | 6720 |
| Square | 494706564 |
| Cube | 11003263396488 |
| Square root | 149.137520 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2242 × |
22242 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and forty-two |
| Binary (base 2) | 101011011100010 |
| Octal (base 8) | 53342 |
| Hexadecimal (base 16) | 56E2 |
| Base 3 | 1010111210 |
| As time | 22242 seconds = 6 h 10 min 42 s |
Is 22242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22242 ÷ 2 = 11121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22242 ÷ 3 = 7414) | 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 (22242 ÷ 6 = 3707) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | Yes (22242 ÷ 11 = 2022) | 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 22242 a prime number?
No. 22242 = 2 × 3 × 11 × 337, so it is divisible by 2.
What are the factors of 22242?
1, 2, 3, 6, 11, 22, 33, 66, 337, 674, 1011, 2022, 3707, 7414, 11121, 22242.
What is 22242 in binary?
101011011100010 (hexadecimal 56E2, octal 53342).
What is the square root of 22242?
About 149.1375.
Is 22242 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 22242?
22242 is a happy number: repeatedly adding the squares of its digits reaches 1.