The number 43242
43242 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7207. Divisors (8): 1, 2, 3, 6, 7207, 14414, 21621, 43242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43242: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43242 is composite. Its prime factorisation is
- 3
The divisors add up to 86496; without 43242 itself that is 43254, so 43242 is abundant (43254 is more than 43242). Euler's totient φ(43242) = 14412 numbers up to 43242 share no factor with it.
- 4
The digits of 43242 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43242 = 2 \times 3 \times 7207 \]
43242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86496 |
| Euler totient φ(n) | 14412 |
| Square | 1869870564 |
| Cube | 80856942928488 |
| Square root | 207.947109 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3242 × |
43242 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and forty-two |
| Binary (base 2) | 1010100011101010 |
| Octal (base 8) | 124352 |
| Hexadecimal (base 16) | A8EA |
| Base 3 | 2012022120 |
| As time | 43242 seconds = 12 h 0 min 42 s |
Is 43242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43242 ÷ 2 = 21621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43242 ÷ 3 = 14414) | 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 (43242 ÷ 6 = 7207) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | 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 43242 a prime number?
No. 43242 = 2 × 3 × 7207, so it is divisible by 2.
What are the factors of 43242?
1, 2, 3, 6, 7207, 14414, 21621, 43242.
What is 43242 in binary?
1010100011101010 (hexadecimal A8EA, octal 124352).
What is the square root of 43242?
About 207.9471.
Is 43242 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43242?
43242 is a happy number: repeatedly adding the squares of its digits reaches 1.