The number 42116
42116 is a composite number with 6 divisors. Its prime factorisation is × 10529. Divisors (6): 1, 2, 4, 10529, 21058, 42116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42116 is composite. Its prime factorisation is
- 3
The divisors add up to 73710; without 42116 itself that is 31594, so 42116 is deficient (31594 is less than 42116). Euler's totient φ(42116) = 21056 numbers up to 42116 share no factor with it.
- 4
The digits of 42116 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42116 = 2^{2} \times 10529 \]42116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 73710 |
| Euler totient φ(n) | 21056 |
| Square | 1773757456 |
| Cube | 74703569016896 |
| Square root | 205.221831 (= 2√10529) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2116 × |
42116 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and sixteen |
| Binary (base 2) | 1010010010000100 |
| Octal (base 8) | 122204 |
| Hexadecimal (base 16) | A484 |
| Base 3 | 2010202212 |
| As time | 42116 seconds = 11 h 41 min 56 s |
Is 42116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42116 ÷ 2 = 21058) | 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 (42116 ÷ 4 = 10529) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42116 a prime number?
No. 42116 = × 10529, so it is divisible by 2.
What are the factors of 42116?
1, 2, 4, 10529, 21058, 42116.
What is 42116 in binary?
1010010010000100 (hexadecimal A484, octal 122204).
What is the square root of 42116?
About 205.2218, exactly 2√10529.
Is 42116 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42116?
It is a composite number with 6 divisors.