The number 80382
80382 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 13397. Divisors (8): 1, 2, 3, 6, 13397, 26794, 40191, 80382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80382 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80382 is composite. Its prime factorisation is
- 3
The divisors add up to 160776; without 80382 itself that is 80394, so 80382 is abundant (80394 is more than 80382). Euler's totient φ(80382) = 26792 numbers up to 80382 share no factor with it.
- 4
The digits of 80382 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 244 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80382 = 2 \times 3 \times 13397 \]
80382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 160776 |
| Euler totient φ(n) | 26792 |
| Square | 6461265924 |
| Cube | 519369477502968 |
| Square root | 283.517195 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 244 |
| Scientific notation | 8.0382 × |
80382 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and eighty-two |
| Binary (base 2) | 10011100111111110 |
| Octal (base 8) | 234776 |
| Hexadecimal (base 16) | 139FE |
| Base 3 | 11002021010 |
| As time | 80382 seconds = 22 h 19 min 42 s |
Is 80382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80382 ÷ 2 = 40191) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80382 ÷ 3 = 26794) | 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 | Yes (80382 ÷ 6 = 13397) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80382 a prime number?
No. 80382 = 2 × 3 × 13397, so it is divisible by 2.
What are the factors of 80382?
1, 2, 3, 6, 13397, 26794, 40191, 80382.
What is 80382 in binary?
10011100111111110 (hexadecimal 139FE, octal 234776).
What is the square root of 80382?
About 283.5172.
Is 80382 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80382?
It is a composite number with 8 divisors.