The number 22442
22442 is a composite number with 12 divisors. Its prime factorisation is 2 × × 229. Divisors (12): 1, 2, 7, 14, 49, 98, 229, 458, 1603, 3206, 11221, 22442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22442: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
22442 is composite. Its prime factorisation is
- 3
The divisors add up to 39330; without 22442 itself that is 16888, so 22442 is deficient (16888 is less than 22442). Euler's totient φ(22442) = 9576 numbers up to 22442 share no factor with it.
- 4
The digits of 22442 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22442 = 2 \times 7^{2} \times 229 \]22442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39330 |
| Euler totient φ(n) | 9576 |
| Square | 503643364 |
| Cube | 11302764374888 |
| Square root | 149.806542 (= 7√458) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.2442 × |
22442 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and forty-two |
| Binary (base 2) | 101011110101010 |
| Octal (base 8) | 53652 |
| Hexadecimal (base 16) | 57AA |
| Base 3 | 1010210012 |
| As time | 22442 seconds = 6 h 14 min 2 s |
Is 22442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22442 ÷ 2 = 11221) | 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 | Yes (22442 ÷ 7 = 3206) | 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 5) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22442 a prime number?
No. 22442 = 2 × × 229, so it is divisible by 2.
What are the factors of 22442?
1, 2, 7, 14, 49, 98, 229, 458, 1603, 3206, 11221, 22442.
What is 22442 in binary?
101011110101010 (hexadecimal 57AA, octal 53652).
What is the square root of 22442?
About 149.8065, exactly 7√458.
Is 22442 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 22442?
22442 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.