The number 40382
40382 is a composite number with 8 divisors. Its prime factorisation is 2 × 61 × 331. Divisors (8): 1, 2, 61, 122, 331, 662, 20191, 40382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40382 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40382 is composite. Its prime factorisation is
- 3
The divisors add up to 61752; without 40382 itself that is 21370, so 40382 is deficient (21370 is less than 40382). Euler's totient φ(40382) = 19800 numbers up to 40382 share no factor with it.
- 4
The digits of 40382 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40382 = 2 \times 61 \times 331 \]
40382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61752 |
| Euler totient φ(n) | 19800 |
| Square | 1630705924 |
| Cube | 65851166622968 |
| Square root | 200.952731 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.0382 × |
40382 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and eighty-two |
| Binary (base 2) | 1001110110111110 |
| Octal (base 8) | 116676 |
| Hexadecimal (base 16) | 9DBE |
| Base 3 | 2001101122 |
| As time | 40382 seconds = 11 h 13 min 2 s |
Is 40382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40382 ÷ 2 = 20191) | 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 | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40382 a prime number?
No. 40382 = 2 × 61 × 331, so it is divisible by 2.
What are the factors of 40382?
1, 2, 61, 122, 331, 662, 20191, 40382.
What is 40382 in binary?
1001110110111110 (hexadecimal 9DBE, octal 116676).
What is the square root of 40382?
About 200.9527.
Is 40382 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40382?
It is a composite number with 8 divisors.