The number 42382
42382 is a composite number with 4 divisors. Its prime factorisation is 2 × 21191. Divisors (4): 1, 2, 21191, 42382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42382: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21191, the product of two primes.
- 2
42382 is composite. Its prime factorisation is
- 3
The divisors add up to 63576; without 42382 itself that is 21194, so 42382 is deficient (21194 is less than 42382). Euler's totient φ(42382) = 21190 numbers up to 42382 share no factor with it.
- 4
The digits of 42382 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42382 = 2 \times 21191 \]
42382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63576 |
| Euler totient φ(n) | 21190 |
| Square | 1796233924 |
| Cube | 76127986166968 |
| Square root | 205.868890 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2382 × |
42382 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and eighty-two |
| Binary (base 2) | 1010010110001110 |
| Octal (base 8) | 122616 |
| Hexadecimal (base 16) | A58E |
| Base 3 | 2011010201 |
| As time | 42382 seconds = 11 h 46 min 22 s |
Is 42382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42382 ÷ 2 = 21191) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42382 a prime number?
No. 42382 = 2 × 21191, so it is divisible by 2.
What are the factors of 42382?
1, 2, 21191, 42382.
What is 42382 in binary?
1010010110001110 (hexadecimal A58E, octal 122616).
What is the square root of 42382?
About 205.8689.
Is 42382 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42382?
42382 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21191, the product of two primes.