The number 54243
54243 is a composite number with 24 divisors. Its prime factorisation is × × 41. Divisors (24): 1, 3, 7, 9, 21, 27, 41, 49, 63, 123, 147, 189, 287, 369, 441, 861 … 54243.
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How to work it out
- 1
What is special about 54243: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54243 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 54243 itself that is 41517, so 54243 is deficient (41517 is less than 54243). Euler's totient φ(54243) = 30240 numbers up to 54243 share no factor with it.
- 4
The digits of 54243 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54243 = 3^{3} \times 7^{2} \times 41 \]54243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 30240 |
| Square | 2942303049 |
| Cube | 159599344286907 |
| Square root | 232.901267 (= 21√123) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4243 × |
54243 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand two hundred and forty-three |
| Binary (base 2) | 1101001111100011 |
| Octal (base 8) | 151743 |
| Hexadecimal (base 16) | D3E3 |
| Base 3 | 2202102000 |
| As time | 54243 seconds = 15 h 4 min 3 s |
Is 54243 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 (54243 ÷ 3 = 18081) | 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 (54243 ÷ 7 = 7749) | 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 | Yes (54243 ÷ 9 = 6027) | 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 2) | 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 54243 a prime number?
No. 54243 = × × 41, so it is divisible by 3.
What are the factors of 54243?
1, 3, 7, 9, 21, 27, 41, 49, 63, 123, 147, 189, 287, 369, 441, 861, 1107, 1323, 2009, 2583, 6027, 7749, 18081, 54243.
What is 54243 in binary?
1101001111100011 (hexadecimal D3E3, octal 151743).
What is the square root of 54243?
About 232.9013, exactly 21√123.
Is 54243 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54243?
54243 is a happy number: repeatedly adding the squares of its digits reaches 1.