The number 42668
42668 is a composite number with 6 divisors. Its prime factorisation is × 10667. Divisors (6): 1, 2, 4, 10667, 21334, 42668.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42668 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42668 is composite. Its prime factorisation is
- 3
The divisors add up to 74676; without 42668 itself that is 32008, so 42668 is deficient (32008 is less than 42668). Euler's totient φ(42668) = 21332 numbers up to 42668 share no factor with it.
- 4
The digits of 42668 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42668 = 2^{2} \times 10667 \]42668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74676 |
| Euler totient φ(n) | 21332 |
| Square | 1820558224 |
| Cube | 77679578301632 |
| Square root | 206.562339 (= 2√10667) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2668 × |
42668 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and sixty-eight |
| Binary (base 2) | 1010011010101100 |
| Octal (base 8) | 123254 |
| Hexadecimal (base 16) | A6AC |
| Base 3 | 2011112022 |
| As time | 42668 seconds = 11 h 51 min 8 s |
Is 42668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42668 ÷ 2 = 21334) | 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 (42668 ÷ 4 = 10667) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 42668 a prime number?
No. 42668 = × 10667, so it is divisible by 2.
What are the factors of 42668?
1, 2, 4, 10667, 21334, 42668.
What is 42668 in binary?
1010011010101100 (hexadecimal A6AC, octal 123254).
What is the square root of 42668?
About 206.5623, exactly 2√10667.
Is 42668 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42668?
It is a composite number with 6 divisors.