The number 42231
42231 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2011. Divisors (8): 1, 3, 7, 21, 2011, 6033, 14077, 42231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42231 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42231 is composite. Its prime factorisation is
- 3
The divisors add up to 64384; without 42231 itself that is 22153, so 42231 is deficient (22153 is less than 42231). Euler's totient φ(42231) = 24120 numbers up to 42231 share no factor with it.
- 4
The digits of 42231 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42231 = 3 \times 7 \times 2011 \]
42231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64384 |
| Euler totient φ(n) | 24120 |
| Square | 1783457361 |
| Cube | 75317187812391 |
| Square root | 205.501825 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2231 × |
42231 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and thirty-one |
| Binary (base 2) | 1010010011110111 |
| Octal (base 8) | 122367 |
| Hexadecimal (base 16) | A4F7 |
| Base 3 | 2010221010 |
| As time | 42231 seconds = 11 h 43 min 51 s |
Is 42231 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 (42231 ÷ 3 = 14077) | 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 1) | 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 | Yes (42231 ÷ 7 = 6033) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42231 a prime number?
No. 42231 = 3 × 7 × 2011, so it is divisible by 3.
What are the factors of 42231?
1, 3, 7, 21, 2011, 6033, 14077, 42231.
What is 42231 in binary?
1010010011110111 (hexadecimal A4F7, octal 122367).
What is the square root of 42231?
About 205.5018.
Is 42231 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42231?
It is a composite number with 8 divisors.