The number 42678
42678 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2371. Divisors (12): 1, 2, 3, 6, 9, 18, 2371, 4742, 7113, 14226, 21339, 42678.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42678 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42678 is composite. Its prime factorisation is
- 3
The divisors add up to 92508; without 42678 itself that is 49830, so 42678 is abundant (49830 is more than 42678). Euler's totient φ(42678) = 14220 numbers up to 42678 share no factor with it.
- 4
The digits of 42678 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42678 = 2 \times 3^{2} \times 2371 \]42678 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92508 |
| Euler totient φ(n) | 14220 |
| Square | 1821411684 |
| Cube | 77734207849752 |
| Square root | 206.586544 (= 3√4742) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2678 × |
42678 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and seventy-eight |
| Binary (base 2) | 1010011010110110 |
| Octal (base 8) | 123266 |
| Hexadecimal (base 16) | A6B6 |
| Base 3 | 2011112200 |
| As time | 42678 seconds = 11 h 51 min 18 s |
Is 42678 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42678 ÷ 2 = 21339) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42678 ÷ 3 = 14226) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (42678 ÷ 6 = 7113) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42678 ÷ 9 = 4742) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42678 a prime number?
No. 42678 = 2 × × 2371, so it is divisible by 2.
What are the factors of 42678?
1, 2, 3, 6, 9, 18, 2371, 4742, 7113, 14226, 21339, 42678.
What is 42678 in binary?
1010011010110110 (hexadecimal A6B6, octal 123266).
What is the square root of 42678?
About 206.5865, exactly 3√4742.
Is 42678 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42678?
It is a composite number with 12 divisors.