The number 42112
42112 is a composite number with 32 divisors. Its prime factorisation is × 7 × 47. Divisors (32): 1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 64, 94, 112, 128, 188 … 42112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42112 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 42112 itself that is 55808, so 42112 is abundant (55808 is more than 42112). Euler's totient φ(42112) = 17664 numbers up to 42112 share no factor with it.
- 4
The digits of 42112 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42112 = 2^{7} \times 7 \times 47 \]42112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 17664 |
| Square | 1773420544 |
| Cube | 74682285948928 |
| Square root | 205.212085 (= 8√658) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2112 × |
42112 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and twelve |
| Binary (base 2) | 1010010010000000 |
| Octal (base 8) | 122200 |
| Hexadecimal (base 16) | A480 |
| Base 3 | 2010202201 |
| As time | 42112 seconds = 11 h 41 min 52 s |
Is 42112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42112 ÷ 2 = 21056) | 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 (42112 ÷ 4 = 10528) | 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 | Yes (42112 ÷ 7 = 6016) | 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 (42112 ÷ 8 = 5264) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 42112 a prime number?
No. 42112 = × 7 × 47, so it is divisible by 2.
What are the factors of 42112?
1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 64, 94, 112, 128, 188, 224, 329, 376, 448, 658, 752, 896, 1316, 1504, 2632, 3008, 5264, 6016, 10528, 21056, 42112.
What is 42112 in binary?
1010010010000000 (hexadecimal A480, octal 122200).
What is the square root of 42112?
About 205.2121, exactly 8√658.
Is 42112 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 42112?
It is a composite number with 32 divisors.