The number 382
382 is a composite number with 4 divisors. Its prime factorisation is 2 × 191. Divisors (4): 1, 2, 191, 382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 382: a semiprime: 2 × 191, the product of two primes.
- 2
382 is composite. Its prime factorisation is
- 3
The divisors add up to 576; without 382 itself that is 194, so 382 is deficient (194 is less than 382). Euler's totient φ(382) = 190 numbers up to 382 share no factor with it.
- 4
The digits of 382 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 382 = 2 \times 191 \]
382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 576 |
| Euler totient φ(n) | 190 |
| Square | 145924 |
| Cube | 55742968 |
| Square root | 19.544820 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 3.82 × |
382 in other forms
| Form | Value |
|---|---|
| In words | three hundred and eighty-two |
| Roman numerals | CCCLXXXII |
| Binary (base 2) | 101111110 |
| Octal (base 8) | 576 |
| Hexadecimal (base 16) | 17E |
| Base 3 | 112011 |
| As time | 382 seconds = 6 min 22 s |
Is 382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (382 ÷ 2 = 191) | 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 4) | 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 8) | 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 382 a prime number?
No. 382 = 2 × 191, so it is divisible by 2.
What are the factors of 382?
1, 2, 191, 382.
What is 382 in binary?
101111110 (hexadecimal 17E, octal 576).
What is the square root of 382?
About 19.5448.
What is 382 in Roman numerals?
CCCLXXXII.
Is 382 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 382?
382 is a semiprime: 2 × 191, the product of two primes.