The number 24542
24542 is a palindrome: it reads 24542 backwards too. Its prime factorisation is 2 × 7 × 1753. Divisors (8): 1, 2, 7, 14, 1753, 3506, 12271, 24542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24542: a palindrome: it reads 24542 backwards too.
- 2
24542 is composite. Its prime factorisation is
- 3
The divisors add up to 42096; without 24542 itself that is 17554, so 24542 is deficient (17554 is less than 24542). Euler's totient φ(24542) = 10512 numbers up to 24542 share no factor with it.
- 4
The digits of 24542 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24542 = 2 \times 7 \times 1753 \]
24542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42096 |
| Euler totient φ(n) | 10512 |
| Square | 602309764 |
| Cube | 14781886228088 |
| Square root | 156.658865 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4542 × |
24542 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand five hundred and forty-two |
| Binary (base 2) | 101111111011110 |
| Octal (base 8) | 57736 |
| Hexadecimal (base 16) | 5FDE |
| Base 3 | 1020122222 |
| As time | 24542 seconds = 6 h 49 min 2 s |
Is 24542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24542 ÷ 2 = 12271) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24542 ÷ 7 = 3506) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24542 a prime number?
No. 24542 = 2 × 7 × 1753, so it is divisible by 2.
What are the factors of 24542?
1, 2, 7, 14, 1753, 3506, 12271, 24542.
What is 24542 in binary?
101111111011110 (hexadecimal 5FDE, octal 57736).
What is the square root of 24542?
About 156.6589.
Is 24542 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24542?
24542 is a palindrome: it reads 24542 backwards too.