The number 24042
24042 is a palindrome: it reads 24042 backwards too. Its prime factorisation is 2 × 3 × 4007. Divisors (8): 1, 2, 3, 6, 4007, 8014, 12021, 24042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24042: a palindrome: it reads 24042 backwards too.
- 2
24042 is composite. Its prime factorisation is
- 3
The divisors add up to 48096; without 24042 itself that is 24054, so 24042 is abundant (24054 is more than 24042). Euler's totient φ(24042) = 8012 numbers up to 24042 share no factor with it.
- 4
The digits of 24042 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24042 = 2 \times 3 \times 4007 \]
24042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48096 |
| Euler totient φ(n) | 8012 |
| Square | 578017764 |
| Cube | 13896703082088 |
| Square root | 155.054829 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4042 × |
24042 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and forty-two |
| Binary (base 2) | 101110111101010 |
| Octal (base 8) | 56752 |
| Hexadecimal (base 16) | 5DEA |
| Base 3 | 1012222110 |
| As time | 24042 seconds = 6 h 40 min 42 s |
Is 24042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24042 ÷ 2 = 12021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24042 ÷ 3 = 8014) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (24042 ÷ 6 = 4007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 2) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24042 a prime number?
No. 24042 = 2 × 3 × 4007, so it is divisible by 2.
What are the factors of 24042?
1, 2, 3, 6, 4007, 8014, 12021, 24042.
What is 24042 in binary?
101110111101010 (hexadecimal 5DEA, octal 56752).
What is the square root of 24042?
About 155.0548.
Is 24042 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24042?
24042 is a palindrome: it reads 24042 backwards too.