The number 22443
22443 is a composite number with 4 divisors. Its prime factorisation is 3 × 7481. Divisors (4): 1, 3, 7481, 22443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22443: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 7481, the product of two primes.
- 2
22443 is composite. Its prime factorisation is
- 3
The divisors add up to 29928; without 22443 itself that is 7485, so 22443 is deficient (7485 is less than 22443). Euler's totient φ(22443) = 14960 numbers up to 22443 share no factor with it.
- 4
The digits of 22443 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22443 = 3 \times 7481 \]
22443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 29928 |
| Euler totient φ(n) | 14960 |
| Square | 503688249 |
| Cube | 11304275372307 |
| Square root | 149.809880 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2443 × |
22443 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and forty-three |
| Binary (base 2) | 101011110101011 |
| Octal (base 8) | 53653 |
| Hexadecimal (base 16) | 57AB |
| Base 3 | 1010210020 |
| As time | 22443 seconds = 6 h 14 min 3 s |
Is 22443 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22443 ÷ 3 = 7481) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22443 a prime number?
No. 22443 = 3 × 7481, so it is divisible by 3.
What are the factors of 22443?
1, 3, 7481, 22443.
What is 22443 in binary?
101011110101011 (hexadecimal 57AB, octal 53653).
What is the square root of 22443?
About 149.8099.
Is 22443 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 22443?
22443 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 7481, the product of two primes.