The number 42808
42808 is a composite number with 8 divisors. Its prime factorisation is × 5351. Divisors (8): 1, 2, 4, 8, 5351, 10702, 21404, 42808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42808 is composite. Its prime factorisation is
- 3
The divisors add up to 80280; without 42808 itself that is 37472, so 42808 is deficient (37472 is less than 42808). Euler's totient φ(42808) = 21400 numbers up to 42808 share no factor with it.
- 4
The digits of 42808 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42808 = 2^{3} \times 5351 \]42808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80280 |
| Euler totient φ(n) | 21400 |
| Square | 1832524864 |
| Cube | 78446724378112 |
| Square root | 206.900942 (= 2√10702) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2808 × |
42808 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and eight |
| Binary (base 2) | 1010011100111000 |
| Octal (base 8) | 123470 |
| Hexadecimal (base 16) | A738 |
| Base 3 | 2011201111 |
| As time | 42808 seconds = 11 h 53 min 28 s |
Is 42808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42808 ÷ 2 = 21404) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42808 ÷ 4 = 10702) | 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 4) | 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 | Yes (42808 ÷ 8 = 5351) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42808 a prime number?
No. 42808 = × 5351, so it is divisible by 2.
What are the factors of 42808?
1, 2, 4, 8, 5351, 10702, 21404, 42808.
What is 42808 in binary?
1010011100111000 (hexadecimal A738, octal 123470).
What is the square root of 42808?
About 206.9009, exactly 2√10702.
Is 42808 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42808?
It is a composite number with 8 divisors.