The number 42662
42662 is a composite number with 8 divisors. Its prime factorisation is 2 × 83 × 257. Divisors (8): 1, 2, 83, 166, 257, 514, 21331, 42662.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42662 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42662 is composite. Its prime factorisation is
- 3
The divisors add up to 65016; without 42662 itself that is 22354, so 42662 is deficient (22354 is less than 42662). Euler's totient φ(42662) = 20992 numbers up to 42662 share no factor with it.
- 4
The digits of 42662 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42662 = 2 \times 83 \times 257 \]
42662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65016 |
| Euler totient φ(n) | 20992 |
| Square | 1820046244 |
| Cube | 77646812861528 |
| Square root | 206.547815 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2662 × |
42662 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and sixty-two |
| Binary (base 2) | 1010011010100110 |
| Octal (base 8) | 123246 |
| Hexadecimal (base 16) | A6A6 |
| Base 3 | 2011112002 |
| As time | 42662 seconds = 11 h 51 min 2 s |
Is 42662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42662 ÷ 2 = 21331) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42662 a prime number?
No. 42662 = 2 × 83 × 257, so it is divisible by 2.
What are the factors of 42662?
1, 2, 83, 166, 257, 514, 21331, 42662.
What is 42662 in binary?
1010011010100110 (hexadecimal A6A6, octal 123246).
What is the square root of 42662?
About 206.5478.
Is 42662 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42662?
It is a composite number with 8 divisors.