The number 42320
42320 is a composite number with 30 divisors. Its prime factorisation is × 5 × . Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230 … 42320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42320 is composite. Its prime factorisation is
- 3
The divisors add up to 102858; without 42320 itself that is 60538, so 42320 is abundant (60538 is more than 42320). Euler's totient φ(42320) = 16192 numbers up to 42320 share no factor with it.
- 4
The digits of 42320 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42320 = 2^{4} \times 5 \times 23^{2} \]42320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 102858 |
| Euler totient φ(n) | 16192 |
| Square | 1790982400 |
| Cube | 75794375168000 |
| Square root | 205.718254 (= 92√5) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.232 × |
42320 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and twenty |
| Binary (base 2) | 1010010101010000 |
| Octal (base 8) | 122520 |
| Hexadecimal (base 16) | A550 |
| Base 3 | 2011001102 |
| As time | 42320 seconds = 11 h 45 min 20 s |
Is 42320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42320 ÷ 2 = 21160) | 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 (42320 ÷ 4 = 10580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42320 ÷ 5 = 8464) | 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 5) | 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 (42320 ÷ 8 = 5290) | 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 | Yes (42320 ÷ 10 = 4232) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 42320 a prime number?
No. 42320 = × 5 × , so it is divisible by 2.
What are the factors of 42320?
1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 529, 920, 1058, 1840, 2116, 2645, 4232, 5290, 8464, 10580, 21160, 42320.
What is 42320 in binary?
1010010101010000 (hexadecimal A550, octal 122520).
What is the square root of 42320?
About 205.7183, exactly 92√5.
Is 42320 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42320?
It is a composite number with 30 divisors.