The number 42524
42524 is a palindrome: it reads 42524 backwards too. Its prime factorisation is × 10631. Divisors (6): 1, 2, 4, 10631, 21262, 42524.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42524: a palindrome: it reads 42524 backwards too.
- 2
42524 is composite. Its prime factorisation is
- 3
The divisors add up to 74424; without 42524 itself that is 31900, so 42524 is deficient (31900 is less than 42524). Euler's totient φ(42524) = 21260 numbers up to 42524 share no factor with it.
- 4
The digits of 42524 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42524 = 2^{2} \times 10631 \]42524 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74424 |
| Euler totient φ(n) | 21260 |
| Square | 1808290576 |
| Cube | 76895748453824 |
| Square root | 206.213482 (= 2√10631) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2524 × |
42524 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and twenty-four |
| Binary (base 2) | 1010011000011100 |
| Octal (base 8) | 123034 |
| Hexadecimal (base 16) | A61C |
| Base 3 | 2011022222 |
| As time | 42524 seconds = 11 h 48 min 44 s |
Is 42524 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42524 ÷ 2 = 21262) | 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 | Yes (42524 ÷ 4 = 10631) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42524 a prime number?
No. 42524 = × 10631, so it is divisible by 2.
What are the factors of 42524?
1, 2, 4, 10631, 21262, 42524.
What is 42524 in binary?
1010011000011100 (hexadecimal A61C, octal 123034).
What is the square root of 42524?
About 206.2135, exactly 2√10631.
Is 42524 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42524?
42524 is a palindrome: it reads 42524 backwards too.