The number 42392
42392 is a composite number with 16 divisors. Its prime factorisation is × 7 × 757. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 757, 1514, 3028, 5299, 6056, 10598, 21196, 42392.
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How to work it out
- 1
42392 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42392 is composite. Its prime factorisation is
- 3
The divisors add up to 90960; without 42392 itself that is 48568, so 42392 is abundant (48568 is more than 42392). Euler's totient φ(42392) = 18144 numbers up to 42392 share no factor with it.
- 4
The digits of 42392 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42392 = 2^{3} \times 7 \times 757 \]42392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90960 |
| Euler totient φ(n) | 18144 |
| Square | 1797081664 |
| Cube | 76181885900288 |
| Square root | 205.893176 (= 2√10598) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2392 × |
42392 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and ninety-two |
| Binary (base 2) | 1010010110011000 |
| Octal (base 8) | 122630 |
| Hexadecimal (base 16) | A598 |
| Base 3 | 2011011002 |
| As time | 42392 seconds = 11 h 46 min 32 s |
Is 42392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42392 ÷ 2 = 21196) | 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 (42392 ÷ 4 = 10598) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42392 ÷ 7 = 6056) | 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 (42392 ÷ 8 = 5299) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 42392 a prime number?
No. 42392 = × 7 × 757, so it is divisible by 2.
What are the factors of 42392?
1, 2, 4, 7, 8, 14, 28, 56, 757, 1514, 3028, 5299, 6056, 10598, 21196, 42392.
What is 42392 in binary?
1010010110011000 (hexadecimal A598, octal 122630).
What is the square root of 42392?
About 205.8932, exactly 2√10598.
Is 42392 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42392?
It is a composite number with 16 divisors.