The number 42304
42304 is a composite number with 14 divisors. Its prime factorisation is × 661. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 661, 1322, 2644, 5288, 10576, 21152, 42304.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42304 is composite. Its prime factorisation is
- 3
The divisors add up to 84074; without 42304 itself that is 41770, so 42304 is deficient (41770 is less than 42304). Euler's totient φ(42304) = 21120 numbers up to 42304 share no factor with it.
- 4
The digits of 42304 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42304 = 2^{6} \times 661 \]42304 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 84074 |
| Euler totient φ(n) | 21120 |
| Square | 1789628416 |
| Cube | 75708440510464 |
| Square root | 205.679362 (= 8√661) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2304 × |
42304 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and four |
| Binary (base 2) | 1010010101000000 |
| Octal (base 8) | 122500 |
| Hexadecimal (base 16) | A540 |
| Base 3 | 2011000211 |
| As time | 42304 seconds = 11 h 45 min 4 s |
Is 42304 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42304 ÷ 2 = 21152) | 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 (42304 ÷ 4 = 10576) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (42304 ÷ 8 = 5288) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42304 a prime number?
No. 42304 = × 661, so it is divisible by 2.
What are the factors of 42304?
1, 2, 4, 8, 16, 32, 64, 661, 1322, 2644, 5288, 10576, 21152, 42304.
What is 42304 in binary?
1010010101000000 (hexadecimal A540, octal 122500).
What is the square root of 42304?
About 205.6794, exactly 8√661.
Is 42304 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42304?
It is a composite number with 14 divisors.