The number 80773
80773 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 1049. Divisors (8): 1, 7, 11, 77, 1049, 7343, 11539, 80773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80773 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 80773 itself that is 20027, so 80773 is deficient (20027 is less than 80773). Euler's totient φ(80773) = 62880 numbers up to 80773 share no factor with it.
- 4
The digits of 80773 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80773 = 7 \times 11 \times 1049 \]
80773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 62880 |
| Square | 6524277529 |
| Cube | 526985468849917 |
| Square root | 284.205911 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0773 × |
80773 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and seventy-three |
| Binary (base 2) | 10011101110000101 |
| Octal (base 8) | 235605 |
| Hexadecimal (base 16) | 13B85 |
| Base 3 | 11002210121 |
| As time | 80773 seconds = 22 h 26 min 13 s |
Is 80773 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80773 ÷ 7 = 11539) | 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 | No (remainder 7) | 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 | Yes (80773 ÷ 11 = 7343) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80773 a prime number?
No. 80773 = 7 × 11 × 1049, so it is divisible by 7.
What are the factors of 80773?
1, 7, 11, 77, 1049, 7343, 11539, 80773.
What is 80773 in binary?
10011101110000101 (hexadecimal 13B85, octal 235605).
What is the square root of 80773?
About 284.2059.
Is 80773 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80773?
It is a composite number with 8 divisors.