The number 42324
42324 is a palindrome: it reads 42324 backwards too. Its prime factorisation is × 3 × 3527. Divisors (12): 1, 2, 3, 4, 6, 12, 3527, 7054, 10581, 14108, 21162, 42324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42324: a palindrome: it reads 42324 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42324 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 42324 itself that is 56460, so 42324 is abundant (56460 is more than 42324). Euler's totient φ(42324) = 14104 numbers up to 42324 share no factor with it.
- 4
The digits of 42324 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42324 = 2^{2} \times 3 \times 3527 \]42324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 14104 |
| Square | 1791320976 |
| Cube | 75815868988224 |
| Square root | 205.727976 (= 2√10581) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2324 × |
42324 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and twenty-four |
| Binary (base 2) | 1010010101010100 |
| Octal (base 8) | 122524 |
| Hexadecimal (base 16) | A554 |
| Base 3 | 2011001120 |
| As time | 42324 seconds = 11 h 45 min 24 s |
Is 42324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42324 ÷ 2 = 21162) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42324 ÷ 3 = 14108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42324 ÷ 4 = 10581) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42324 ÷ 6 = 7054) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42324 ÷ 12 = 3527) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42324 a prime number?
No. 42324 = × 3 × 3527, so it is divisible by 2.
What are the factors of 42324?
1, 2, 3, 4, 6, 12, 3527, 7054, 10581, 14108, 21162, 42324.
What is 42324 in binary?
1010010101010100 (hexadecimal A554, octal 122524).
What is the square root of 42324?
About 205.7280, exactly 2√10581.
Is 42324 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42324?
42324 is a palindrome: it reads 42324 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.