The number 42206
42206 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 449. Divisors (8): 1, 2, 47, 94, 449, 898, 21103, 42206.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42206 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42206 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 42206 itself that is 22594, so 42206 is deficient (22594 is less than 42206). Euler's totient φ(42206) = 20608 numbers up to 42206 share no factor with it.
- 4
The digits of 42206 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42206 = 2 \times 47 \times 449 \]
42206 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 20608 |
| Square | 1781346436 |
| Cube | 75183507677816 |
| Square root | 205.440989 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2206 × |
42206 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and six |
| Binary (base 2) | 1010010011011110 |
| Octal (base 8) | 122336 |
| Hexadecimal (base 16) | A4DE |
| Base 3 | 2010220012 |
| As time | 42206 seconds = 11 h 43 min 26 s |
Is 42206 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42206 ÷ 2 = 21103) | 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 1) | 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 6) | 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 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42206 a prime number?
No. 42206 = 2 × 47 × 449, so it is divisible by 2.
What are the factors of 42206?
1, 2, 47, 94, 449, 898, 21103, 42206.
What is 42206 in binary?
1010010011011110 (hexadecimal A4DE, octal 122336).
What is the square root of 42206?
About 205.4410.
Is 42206 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42206?
It is a composite number with 8 divisors.