The number 42336
42336 is a composite number with 72 divisors. Its prime factorisation is × × . Divisors (72): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28 … 42336.
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How to work it out
- 1
What is special about 42336: a Harshad number: divisible by its digit sum 18.
- 2
42336 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 42336 itself that is 101304, so 42336 is abundant (101304 is more than 42336). Euler's totient φ(42336) = 12096 numbers up to 42336 share no factor with it.
- 4
The digits of 42336 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42336 = 2^{5} \times 3^{3} \times 7^{2} \]42336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 12096 |
| Square | 1792336896 |
| Cube | 75880374829056 |
| Square root | 205.757138 (= 84√6) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2336 × |
42336 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and thirty-six |
| Binary (base 2) | 1010010101100000 |
| Octal (base 8) | 122540 |
| Hexadecimal (base 16) | A560 |
| Base 3 | 2011002000 |
| As time | 42336 seconds = 11 h 45 min 36 s |
Is 42336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42336 ÷ 2 = 21168) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42336 ÷ 3 = 14112) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42336 ÷ 4 = 10584) | 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 | Yes (42336 ÷ 6 = 7056) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42336 ÷ 7 = 6048) | 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 (42336 ÷ 8 = 5292) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42336 ÷ 9 = 4704) | 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 | Yes (42336 ÷ 12 = 3528) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42336 a prime number?
No. 42336 = × × , so it is divisible by 2.
What are the factors of 42336?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 49, 54, 56, 63, 72, 84, 96, 98, 108, 112, 126, 144, 147, 168, 189, 196, 216, 224, 252, 288, 294, 336, 378, 392, 432, 441, 504, 588, 672, 756, 784, 864, 882, 1008, 1176, 1323, 1512, 1568, 1764, 2016, 2352, 2646, 3024, 3528, 4704, 5292, 6048, 7056, 10584, 14112, 21168, 42336.
What is 42336 in binary?
1010010101100000 (hexadecimal A560, octal 122540).
What is the square root of 42336?
About 205.7571, exactly 84√6.
Is 42336 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42336?
42336 is a Harshad number: divisible by its digit sum 18.