The number 42124
42124 is a palindrome: it reads 42124 backwards too. Its prime factorisation is × 10531. Divisors (6): 1, 2, 4, 10531, 21062, 42124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42124: a palindrome: it reads 42124 backwards too.
- 2
42124 is composite. Its prime factorisation is
- 3
The divisors add up to 73724; without 42124 itself that is 31600, so 42124 is deficient (31600 is less than 42124). Euler's totient φ(42124) = 21060 numbers up to 42124 share no factor with it.
- 4
The digits of 42124 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42124 = 2^{2} \times 10531 \]42124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 73724 |
| Euler totient φ(n) | 21060 |
| Square | 1774431376 |
| Cube | 74746147282624 |
| Square root | 205.241321 (= 2√10531) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2124 × |
42124 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and twenty-four |
| Binary (base 2) | 1010010010001100 |
| Octal (base 8) | 122214 |
| Hexadecimal (base 16) | A48C |
| Base 3 | 2010210011 |
| As time | 42124 seconds = 11 h 42 min 4 s |
Is 42124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42124 ÷ 2 = 21062) | 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 (42124 ÷ 4 = 10531) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 42124 a prime number?
No. 42124 = × 10531, so it is divisible by 2.
What are the factors of 42124?
1, 2, 4, 10531, 21062, 42124.
What is 42124 in binary?
1010010010001100 (hexadecimal A48C, octal 122214).
What is the square root of 42124?
About 205.2413, exactly 2√10531.
Is 42124 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42124?
42124 is a palindrome: it reads 42124 backwards too.