The number 42824
42824 is a palindrome: it reads 42824 backwards too. Its prime factorisation is × 53 × 101. Divisors (16): 1, 2, 4, 8, 53, 101, 106, 202, 212, 404, 424, 808, 5353, 10706, 21412, 42824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42824: a palindrome: it reads 42824 backwards too.
- 2
42824 is composite. Its prime factorisation is
- 3
The divisors add up to 82620; without 42824 itself that is 39796, so 42824 is deficient (39796 is less than 42824). Euler's totient φ(42824) = 20800 numbers up to 42824 share no factor with it.
- 4
The digits of 42824 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42824 = 2^{3} \times 53 \times 101 \]42824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82620 |
| Euler totient φ(n) | 20800 |
| Square | 1833894976 |
| Cube | 78534718452224 |
| Square root | 206.939605 (= 2√10706) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2824 × |
42824 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and twenty-four |
| Binary (base 2) | 1010011101001000 |
| Octal (base 8) | 123510 |
| Hexadecimal (base 16) | A748 |
| Base 3 | 2011202002 |
| As time | 42824 seconds = 11 h 53 min 44 s |
Is 42824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42824 ÷ 2 = 21412) | 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 (42824 ÷ 4 = 10706) | 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 5) | 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 (42824 ÷ 8 = 5353) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 42824 a prime number?
No. 42824 = × 53 × 101, so it is divisible by 2.
What are the factors of 42824?
1, 2, 4, 8, 53, 101, 106, 202, 212, 404, 424, 808, 5353, 10706, 21412, 42824.
What is 42824 in binary?
1010011101001000 (hexadecimal A748, octal 123510).
What is the square root of 42824?
About 206.9396, exactly 2√10706.
Is 42824 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42824?
42824 is a palindrome: it reads 42824 backwards too.