The number 42327
42327 is a composite number with 6 divisors. Its prime factorisation is × 4703. Divisors (6): 1, 3, 9, 4703, 14109, 42327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42327: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42327 is composite. Its prime factorisation is
- 3
The divisors add up to 61152; without 42327 itself that is 18825, so 42327 is deficient (18825 is less than 42327). Euler's totient φ(42327) = 28212 numbers up to 42327 share no factor with it.
- 4
The digits of 42327 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42327 = 3^{2} \times 4703 \]42327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 61152 |
| Euler totient φ(n) | 28212 |
| Square | 1791574929 |
| Cube | 75831992019783 |
| Square root | 205.735267 (= 3√4703) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2327 × |
42327 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and twenty-seven |
| Binary (base 2) | 1010010101010111 |
| Octal (base 8) | 122527 |
| Hexadecimal (base 16) | A557 |
| Base 3 | 2011001200 |
| As time | 42327 seconds = 11 h 45 min 27 s |
Is 42327 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 (42327 ÷ 3 = 14109) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42327 ÷ 9 = 4703) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 42327 a prime number?
No. 42327 = × 4703, so it is divisible by 3.
What are the factors of 42327?
1, 3, 9, 4703, 14109, 42327.
What is 42327 in binary?
1010010101010111 (hexadecimal A557, octal 122527).
What is the square root of 42327?
About 205.7353, exactly 3√4703.
Is 42327 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42327?
42327 is a happy number: repeatedly adding the squares of its digits reaches 1.