The number 42716
42716 is a composite number with 12 divisors. Its prime factorisation is × 59 × 181. Divisors (12): 1, 2, 4, 59, 118, 181, 236, 362, 724, 10679, 21358, 42716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42716 is composite. Its prime factorisation is
- 3
The divisors add up to 76440; without 42716 itself that is 33724, so 42716 is deficient (33724 is less than 42716). Euler's totient φ(42716) = 20880 numbers up to 42716 share no factor with it.
- 4
The digits of 42716 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42716 = 2^{2} \times 59 \times 181 \]42716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76440 |
| Euler totient φ(n) | 20880 |
| Square | 1824656656 |
| Cube | 77942033717696 |
| Square root | 206.678494 (= 2√10679) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2716 × |
42716 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and sixteen |
| Binary (base 2) | 1010011011011100 |
| Octal (base 8) | 123334 |
| Hexadecimal (base 16) | A6DC |
| Base 3 | 2011121002 |
| As time | 42716 seconds = 11 h 51 min 56 s |
Is 42716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42716 ÷ 2 = 21358) | 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 (42716 ÷ 4 = 10679) | 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 2) | 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 2) | 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 3) | 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 42716 a prime number?
No. 42716 = × 59 × 181, so it is divisible by 2.
What are the factors of 42716?
1, 2, 4, 59, 118, 181, 236, 362, 724, 10679, 21358, 42716.
What is 42716 in binary?
1010011011011100 (hexadecimal A6DC, octal 123334).
What is the square root of 42716?
About 206.6785, exactly 2√10679.
Is 42716 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42716?
It is a composite number with 12 divisors.