The number 82773
82773 is a composite number with 12 divisors. Its prime factorisation is × 17 × 541. Divisors (12): 1, 3, 9, 17, 51, 153, 541, 1623, 4869, 9197, 27591, 82773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82773 is composite. Its prime factorisation is
- 3
The divisors add up to 126828; without 82773 itself that is 44055, so 82773 is deficient (44055 is less than 82773). Euler's totient φ(82773) = 51840 numbers up to 82773 share no factor with it.
- 4
The digits of 82773 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82773 = 3^{2} \times 17 \times 541 \]82773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126828 |
| Euler totient φ(n) | 51840 |
| Square | 6851369529 |
| Cube | 567108410023917 |
| Square root | 287.702972 (= 3√9197) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.2773 × |
82773 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and seventy-three |
| Binary (base 2) | 10100001101010101 |
| Octal (base 8) | 241525 |
| Hexadecimal (base 16) | 14355 |
| Base 3 | 11012112200 |
| As time | 82773 seconds = 22 h 59 min 33 s |
Is 82773 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82773 ÷ 3 = 27591) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82773 ÷ 9 = 9197) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82773 a prime number?
No. 82773 = × 17 × 541, so it is divisible by 3.
What are the factors of 82773?
1, 3, 9, 17, 51, 153, 541, 1623, 4869, 9197, 27591, 82773.
What is 82773 in binary?
10100001101010101 (hexadecimal 14355, octal 241525).
What is the square root of 82773?
About 287.7030, exactly 3√9197.
Is 82773 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 82773?
It is a composite number with 12 divisors.