The number 42892
42892 is a composite number with 6 divisors. Its prime factorisation is × 10723. Divisors (6): 1, 2, 4, 10723, 21446, 42892.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42892 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42892 is composite. Its prime factorisation is
- 3
The divisors add up to 75068; without 42892 itself that is 32176, so 42892 is deficient (32176 is less than 42892). Euler's totient φ(42892) = 21444 numbers up to 42892 share no factor with it.
- 4
The digits of 42892 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42892 = 2^{2} \times 10723 \]42892 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 75068 |
| Euler totient φ(n) | 21444 |
| Square | 1839723664 |
| Cube | 78909427396288 |
| Square root | 207.103839 (= 2√10723) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2892 × |
42892 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and ninety-two |
| Binary (base 2) | 1010011110001100 |
| Octal (base 8) | 123614 |
| Hexadecimal (base 16) | A78C |
| Base 3 | 2011211121 |
| As time | 42892 seconds = 11 h 54 min 52 s |
Is 42892 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42892 ÷ 2 = 21446) | 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 (42892 ÷ 4 = 10723) | 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 3) | 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 7) | 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 3) | 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 42892 a prime number?
No. 42892 = × 10723, so it is divisible by 2.
What are the factors of 42892?
1, 2, 4, 10723, 21446, 42892.
What is 42892 in binary?
1010011110001100 (hexadecimal A78C, octal 123614).
What is the square root of 42892?
About 207.1038, exactly 2√10723.
Is 42892 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42892?
It is a composite number with 6 divisors.