The number 42232
42232 is a composite number with 8 divisors. Its prime factorisation is × 5279. Divisors (8): 1, 2, 4, 8, 5279, 10558, 21116, 42232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42232 is composite. Its prime factorisation is
- 3
The divisors add up to 79200; without 42232 itself that is 36968, so 42232 is deficient (36968 is less than 42232). Euler's totient φ(42232) = 21112 numbers up to 42232 share no factor with it.
- 4
The digits of 42232 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42232 = 2^{3} \times 5279 \]42232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79200 |
| Euler totient φ(n) | 21112 |
| Square | 1783541824 |
| Cube | 75322538311168 |
| Square root | 205.504258 (= 2√10558) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2232 × |
42232 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and thirty-two |
| Binary (base 2) | 1010010011111000 |
| Octal (base 8) | 122370 |
| Hexadecimal (base 16) | A4F8 |
| Base 3 | 2010221011 |
| As time | 42232 seconds = 11 h 43 min 52 s |
Is 42232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42232 ÷ 2 = 21116) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42232 ÷ 4 = 10558) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (42232 ÷ 8 = 5279) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42232 a prime number?
No. 42232 = × 5279, so it is divisible by 2.
What are the factors of 42232?
1, 2, 4, 8, 5279, 10558, 21116, 42232.
What is 42232 in binary?
1010010011111000 (hexadecimal A4F8, octal 122370).
What is the square root of 42232?
About 205.5043, exactly 2√10558.
Is 42232 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42232?
It is a composite number with 8 divisors.