The number 22743
22743 is a composite number with 18 divisors. Its prime factorisation is × 7 × . Divisors (18): 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 361, 399, 1083, 1197, 2527, 3249 … 22743.
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How to work it out
- 1
What is special about 22743: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22743 is composite. Its prime factorisation is
- 3
The divisors add up to 39624; without 22743 itself that is 16881, so 22743 is deficient (16881 is less than 22743). Euler's totient φ(22743) = 12312 numbers up to 22743 share no factor with it.
- 4
The digits of 22743 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22743 = 3^{2} \times 7 \times 19^{2} \]22743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 39624 |
| Euler totient φ(n) | 12312 |
| Square | 517244049 |
| Cube | 11763681406407 |
| Square root | 150.807825 (= 57√7) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.2743 × |
22743 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand seven hundred and forty-three |
| Binary (base 2) | 101100011010111 |
| Octal (base 8) | 54327 |
| Hexadecimal (base 16) | 58D7 |
| Base 3 | 1011012100 |
| As time | 22743 seconds = 6 h 19 min 3 s |
Is 22743 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 (22743 ÷ 3 = 7581) | 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 | Yes (22743 ÷ 7 = 3249) | 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 | Yes (22743 ÷ 9 = 2527) | 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 6) | 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 22743 a prime number?
No. 22743 = × 7 × , so it is divisible by 3.
What are the factors of 22743?
1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 361, 399, 1083, 1197, 2527, 3249, 7581, 22743.
What is 22743 in binary?
101100011010111 (hexadecimal 58D7, octal 54327).
What is the square root of 22743?
About 150.8078, exactly 57√7.
Is 22743 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 22743?
22743 is a happy number: repeatedly adding the squares of its digits reaches 1.