The number 22143
22143 is a composite number with 12 divisors. Its prime factorisation is 3 × × 61. Divisors (12): 1, 3, 11, 33, 61, 121, 183, 363, 671, 2013, 7381, 22143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22143 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22143 is composite. Its prime factorisation is
- 3
The divisors add up to 32984; without 22143 itself that is 10841, so 22143 is deficient (10841 is less than 22143). Euler's totient φ(22143) = 13200 numbers up to 22143 share no factor with it.
- 4
The digits of 22143 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
\[ 22143 = 3 \times 11^{2} \times 61 \]22143 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32984 |
| Euler totient φ(n) | 13200 |
| Square | 490312449 |
| Cube | 10856988558207 |
| Square root | 148.805242 (= 11√183) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2143 × |
22143 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and forty-three |
| Binary (base 2) | 101011001111111 |
| Octal (base 8) | 53177 |
| Hexadecimal (base 16) | 567F |
| Base 3 | 1010101010 |
| As time | 22143 seconds = 6 h 9 min 3 s |
Is 22143 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 (22143 ÷ 3 = 7381) | 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 2) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (22143 ÷ 11 = 2013) | 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 22143 a prime number?
No. 22143 = 3 × × 61, so it is divisible by 3.
What are the factors of 22143?
1, 3, 11, 33, 61, 121, 183, 363, 671, 2013, 7381, 22143.
What is 22143 in binary?
101011001111111 (hexadecimal 567F, octal 53177).
What is the square root of 22143?
About 148.8052, exactly 11√183.
Is 22143 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 22143?
It is a composite number with 12 divisors.