The number 42308
42308 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1511. Divisors (12): 1, 2, 4, 7, 14, 28, 1511, 3022, 6044, 10577, 21154, 42308.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42308 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42308 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 42308 itself that is 42364, so 42308 is abundant (42364 is more than 42308). Euler's totient φ(42308) = 18120 numbers up to 42308 share no factor with it.
- 4
The digits of 42308 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42308 = 2^{2} \times 7 \times 1511 \]42308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 18120 |
| Square | 1789966864 |
| Cube | 75729918082112 |
| Square root | 205.689086 (= 2√10577) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2308 × |
42308 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and eight |
| Binary (base 2) | 1010010101000100 |
| Octal (base 8) | 122504 |
| Hexadecimal (base 16) | A544 |
| Base 3 | 2011000222 |
| As time | 42308 seconds = 11 h 45 min 8 s |
Is 42308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42308 ÷ 2 = 21154) | 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 (42308 ÷ 4 = 10577) | 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 | Yes (42308 ÷ 7 = 6044) | 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 2) | 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 42308 a prime number?
No. 42308 = × 7 × 1511, so it is divisible by 2.
What are the factors of 42308?
1, 2, 4, 7, 14, 28, 1511, 3022, 6044, 10577, 21154, 42308.
What is 42308 in binary?
1010010101000100 (hexadecimal A544, octal 122504).
What is the square root of 42308?
About 205.6891, exactly 2√10577.
Is 42308 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42308?
It is a composite number with 12 divisors.