The number 42368
42368 is a composite number with 16 divisors. Its prime factorisation is × 331. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 331, 662, 1324, 2648, 5296, 10592, 21184, 42368.
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How to work it out
- 1
What is special about 42368: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42368 is composite. Its prime factorisation is
- 3
The divisors add up to 84660; without 42368 itself that is 42292, so 42368 is deficient (42292 is less than 42368). Euler's totient φ(42368) = 21120 numbers up to 42368 share no factor with it.
- 4
The digits of 42368 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42368 = 2^{7} \times 331 \]42368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84660 |
| Euler totient φ(n) | 21120 |
| Square | 1795047424 |
| Cube | 76052569260032 |
| Square root | 205.834885 (= 8√662) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2368 × |
42368 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and sixty-eight |
| Binary (base 2) | 1010010110000000 |
| Octal (base 8) | 122600 |
| Hexadecimal (base 16) | A580 |
| Base 3 | 2011010012 |
| As time | 42368 seconds = 11 h 46 min 8 s |
Is 42368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42368 ÷ 2 = 21184) | 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 (42368 ÷ 4 = 10592) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 (42368 ÷ 8 = 5296) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 42368 a prime number?
No. 42368 = × 331, so it is divisible by 2.
What are the factors of 42368?
1, 2, 4, 8, 16, 32, 64, 128, 331, 662, 1324, 2648, 5296, 10592, 21184, 42368.
What is 42368 in binary?
1010010110000000 (hexadecimal A580, octal 122600).
What is the square root of 42368?
About 205.8349, exactly 8√662.
Is 42368 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42368?
42368 is a happy number: repeatedly adding the squares of its digits reaches 1.