The number 42024
42024 is a palindrome: it reads 42024 backwards too. Its prime factorisation is × 3 × 17 × 103. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 103, 136, 204 … 42024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42024: a palindrome: it reads 42024 backwards too; a Harshad number: divisible by its digit sum 12.
- 2
42024 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 42024 itself that is 70296, so 42024 is abundant (70296 is more than 42024). Euler's totient φ(42024) = 13056 numbers up to 42024 share no factor with it.
- 4
The digits of 42024 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42024 = 2^{3} \times 3 \times 17 \times 103 \]42024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 13056 |
| Square | 1766016576 |
| Cube | 74215080589824 |
| Square root | 204.997561 (= 2√10506) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2024 × |
42024 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and twenty-four |
| Binary (base 2) | 1010010000101000 |
| Octal (base 8) | 122050 |
| Hexadecimal (base 16) | A428 |
| Base 3 | 2010122110 |
| As time | 42024 seconds = 11 h 40 min 24 s |
Is 42024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42024 ÷ 2 = 21012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42024 ÷ 3 = 14008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42024 ÷ 4 = 10506) | 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 (42024 ÷ 6 = 7004) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (42024 ÷ 8 = 5253) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42024 ÷ 12 = 3502) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42024 a prime number?
No. 42024 = × 3 × 17 × 103, so it is divisible by 2.
What are the factors of 42024?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 103, 136, 204, 206, 309, 408, 412, 618, 824, 1236, 1751, 2472, 3502, 5253, 7004, 10506, 14008, 21012, 42024.
What is 42024 in binary?
1010010000101000 (hexadecimal A428, octal 122050).
What is the square root of 42024?
About 204.9976, exactly 2√10506.
Is 42024 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42024?
42024 is a palindrome: it reads 42024 backwards too; a Harshad number: divisible by its digit sum 12.