The number 42543
42543 is a composite number with 12 divisors. Its prime factorisation is × 29 × 163. Divisors (12): 1, 3, 9, 29, 87, 163, 261, 489, 1467, 4727, 14181, 42543.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42543: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42543 is composite. Its prime factorisation is
- 3
The divisors add up to 63960; without 42543 itself that is 21417, so 42543 is deficient (21417 is less than 42543). Euler's totient φ(42543) = 27216 numbers up to 42543 share no factor with it.
- 4
The digits of 42543 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 225 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42543 = 3^{2} \times 29 \times 163 \]42543 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63960 |
| Euler totient φ(n) | 27216 |
| Square | 1809906849 |
| Cube | 76998867077007 |
| Square root | 206.259545 (= 3√4727) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.2543 × |
42543 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and forty-three |
| Binary (base 2) | 1010011000101111 |
| Octal (base 8) | 123057 |
| Hexadecimal (base 16) | A62F |
| Base 3 | 2011100200 |
| As time | 42543 seconds = 11 h 49 min 3 s |
Is 42543 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 (42543 ÷ 3 = 14181) | 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 4) | 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 (42543 ÷ 9 = 4727) | 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 42543 a prime number?
No. 42543 = × 29 × 163, so it is divisible by 3.
What are the factors of 42543?
1, 3, 9, 29, 87, 163, 261, 489, 1467, 4727, 14181, 42543.
What is 42543 in binary?
1010011000101111 (hexadecimal A62F, octal 123057).
What is the square root of 42543?
About 206.2595, exactly 3√4727.
Is 42543 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42543?
42543 is a happy number: repeatedly adding the squares of its digits reaches 1.