The number 43542
43542 is a composite number with 24 divisors. Its prime factorisation is 2 × × 41 × 59. Divisors (24): 1, 2, 3, 6, 9, 18, 41, 59, 82, 118, 123, 177, 246, 354, 369, 531 … 43542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43542: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
43542 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 43542 itself that is 54738, so 43542 is abundant (54738 is more than 43542). Euler's totient φ(43542) = 13920 numbers up to 43542 share no factor with it.
- 4
The digits of 43542 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 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43542 = 2 \times 3^{2} \times 41 \times 59 \]43542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 13920 |
| Square | 1895905764 |
| Cube | 82551528776088 |
| Square root | 208.667199 (= 3√4838) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3542 × |
43542 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand five hundred and forty-two |
| Binary (base 2) | 1010101000010110 |
| Octal (base 8) | 125026 |
| Hexadecimal (base 16) | AA16 |
| Base 3 | 2012201200 |
| As time | 43542 seconds = 12 h 5 min 42 s |
Is 43542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43542 ÷ 2 = 21771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43542 ÷ 3 = 14514) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43542 ÷ 6 = 7257) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43542 ÷ 9 = 4838) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43542 a prime number?
No. 43542 = 2 × × 41 × 59, so it is divisible by 2.
What are the factors of 43542?
1, 2, 3, 6, 9, 18, 41, 59, 82, 118, 123, 177, 246, 354, 369, 531, 738, 1062, 2419, 4838, 7257, 14514, 21771, 43542.
What is 43542 in binary?
1010101000010110 (hexadecimal AA16, octal 125026).
What is the square root of 43542?
About 208.6672, exactly 3√4838.
Is 43542 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43542?
43542 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.