The number 80782
80782 is a composite number with 12 divisors. Its prime factorisation is 2 × × 239. Divisors (12): 1, 2, 13, 26, 169, 239, 338, 478, 3107, 6214, 40391, 80782.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80782 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80782 is composite. Its prime factorisation is
- 3
The divisors add up to 131760; without 80782 itself that is 50978, so 80782 is deficient (50978 is less than 80782). Euler's totient φ(80782) = 37128 numbers up to 80782 share no factor with it.
- 4
The digits of 80782 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80782 = 2 \times 13^{2} \times 239 \]80782 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131760 |
| Euler totient φ(n) | 37128 |
| Square | 6525731524 |
| Cube | 527161643971768 |
| Square root | 284.221744 (= 13√478) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0782 × |
80782 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and eighty-two |
| Binary (base 2) | 10011101110001110 |
| Octal (base 8) | 235616 |
| Hexadecimal (base 16) | 13B8E |
| Base 3 | 11002210221 |
| As time | 80782 seconds = 22 h 26 min 22 s |
Is 80782 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80782 ÷ 2 = 40391) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 80782 a prime number?
No. 80782 = 2 × × 239, so it is divisible by 2.
What are the factors of 80782?
1, 2, 13, 26, 169, 239, 338, 478, 3107, 6214, 40391, 80782.
What is 80782 in binary?
10011101110001110 (hexadecimal 13B8E, octal 235616).
What is the square root of 80782?
About 284.2217, exactly 13√478.
Is 80782 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80782?
It is a composite number with 12 divisors.