The number 42412
42412 is a composite number with 12 divisors. Its prime factorisation is × 23 × 461. Divisors (12): 1, 2, 4, 23, 46, 92, 461, 922, 1844, 10603, 21206, 42412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42412 is composite. Its prime factorisation is
- 3
The divisors add up to 77616; without 42412 itself that is 35204, so 42412 is deficient (35204 is less than 42412). Euler's totient φ(42412) = 20240 numbers up to 42412 share no factor with it.
- 4
The digits of 42412 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42412 = 2^{2} \times 23 \times 461 \]42412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77616 |
| Euler totient φ(n) | 20240 |
| Square | 1798777744 |
| Cube | 76289761678528 |
| Square root | 205.941739 (= 2√10603) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2412 × |
42412 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and twelve |
| Binary (base 2) | 1010010110101100 |
| Octal (base 8) | 122654 |
| Hexadecimal (base 16) | A5AC |
| Base 3 | 2011011211 |
| As time | 42412 seconds = 11 h 46 min 52 s |
Is 42412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42412 ÷ 2 = 21206) | 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 (42412 ÷ 4 = 10603) | 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 4) | 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 4) | 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 7) | 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 42412 a prime number?
No. 42412 = × 23 × 461, so it is divisible by 2.
What are the factors of 42412?
1, 2, 4, 23, 46, 92, 461, 922, 1844, 10603, 21206, 42412.
What is 42412 in binary?
1010010110101100 (hexadecimal A5AC, octal 122654).
What is the square root of 42412?
About 205.9417, exactly 2√10603.
Is 42412 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42412?
It is a composite number with 12 divisors.