The number 42380
42380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 163. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 163, 260, 326, 652, 815 … 42380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42380 is composite. Its prime factorisation is
- 3
The divisors add up to 96432; without 42380 itself that is 54052, so 42380 is abundant (54052 is more than 42380). Euler's totient φ(42380) = 15552 numbers up to 42380 share no factor with it.
- 4
The digits of 42380 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42380 = 2^{2} \times 5 \times 13 \times 163 \]42380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96432 |
| Euler totient φ(n) | 15552 |
| Square | 1796064400 |
| Cube | 76117209272000 |
| Square root | 205.864033 (= 2√10595) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.238 × |
42380 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and eighty |
| Binary (base 2) | 1010010110001100 |
| Octal (base 8) | 122614 |
| Hexadecimal (base 16) | A58C |
| Base 3 | 2011010122 |
| As time | 42380 seconds = 11 h 46 min 20 s |
Is 42380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42380 ÷ 2 = 21190) | 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 (42380 ÷ 4 = 10595) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42380 ÷ 5 = 8476) | 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 2) | 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 | Yes (42380 ÷ 10 = 4238) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 42380 a prime number?
No. 42380 = × 5 × 13 × 163, so it is divisible by 2.
What are the factors of 42380?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 163, 260, 326, 652, 815, 1630, 2119, 3260, 4238, 8476, 10595, 21190, 42380.
What is 42380 in binary?
1010010110001100 (hexadecimal A58C, octal 122614).
What is the square root of 42380?
About 205.8640, exactly 2√10595.
Is 42380 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42380?
It is a composite number with 24 divisors.