The number 42424
42424 is a palindrome: it reads 42424 backwards too. Its prime factorisation is × 5303. Divisors (8): 1, 2, 4, 8, 5303, 10606, 21212, 42424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42424: a palindrome: it reads 42424 backwards too.
- 2
42424 is composite. Its prime factorisation is
- 3
The divisors add up to 79560; without 42424 itself that is 37136, so 42424 is deficient (37136 is less than 42424). Euler's totient φ(42424) = 21208 numbers up to 42424 share no factor with it.
- 4
The digits of 42424 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42424 = 2^{3} \times 5303 \]42424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79560 |
| Euler totient φ(n) | 21208 |
| Square | 1799795776 |
| Cube | 76354536001024 |
| Square root | 205.970872 (= 2√10606) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2424 × |
42424 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and twenty-four |
| Binary (base 2) | 1010010110111000 |
| Octal (base 8) | 122670 |
| Hexadecimal (base 16) | A5B8 |
| Base 3 | 2011012021 |
| As time | 42424 seconds = 11 h 47 min 4 s |
Is 42424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42424 ÷ 2 = 21212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42424 ÷ 4 = 10606) | 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 4) | 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 | Yes (42424 ÷ 8 = 5303) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42424 a prime number?
No. 42424 = × 5303, so it is divisible by 2.
What are the factors of 42424?
1, 2, 4, 8, 5303, 10606, 21212, 42424.
What is 42424 in binary?
1010010110111000 (hexadecimal A5B8, octal 122670).
What is the square root of 42424?
About 205.9709, exactly 2√10606.
Is 42424 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42424?
42424 is a palindrome: it reads 42424 backwards too.