The number 42243
42243 is a composite number with 4 divisors. Its prime factorisation is 3 × 14081. Divisors (4): 1, 3, 14081, 42243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42243: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 14081, the product of two primes.
- 2
42243 is composite. Its prime factorisation is
- 3
The divisors add up to 56328; without 42243 itself that is 14085, so 42243 is deficient (14085 is less than 42243). Euler's totient φ(42243) = 28160 numbers up to 42243 share no factor with it.
- 4
The digits of 42243 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42243 = 3 \times 14081 \]
42243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 56328 |
| Euler totient φ(n) | 28160 |
| Square | 1784471049 |
| Cube | 75381410522907 |
| Square root | 205.531020 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2243 × |
42243 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and forty-three |
| Binary (base 2) | 1010010100000011 |
| Octal (base 8) | 122403 |
| Hexadecimal (base 16) | A503 |
| Base 3 | 2010221120 |
| As time | 42243 seconds = 11 h 44 min 3 s |
Is 42243 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 (42243 ÷ 3 = 14081) | 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 5) | 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 | No (remainder 6) | 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 3) | 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 42243 a prime number?
No. 42243 = 3 × 14081, so it is divisible by 3.
What are the factors of 42243?
1, 3, 14081, 42243.
What is 42243 in binary?
1010010100000011 (hexadecimal A503, octal 122403).
What is the square root of 42243?
About 205.5310.
Is 42243 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42243?
42243 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 14081, the product of two primes.