The number 4773
4773 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 43. Divisors (8): 1, 3, 37, 43, 111, 129, 1591, 4773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4773 is composite. Its prime factorisation is
- 3
The divisors add up to 6688; without 4773 itself that is 1915, so 4773 is deficient (1915 is less than 4773). Euler's totient φ(4773) = 3024 numbers up to 4773 share no factor with it.
- 4
The digits of 4773 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4773 = 3 \times 37 \times 43 \]
4773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6688 |
| Euler totient φ(n) | 3024 |
| Square | 22781529 |
| Cube | 108736237917 |
| Square root | 69.086902 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 4.773 × |
4773 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and seventy-three |
| Binary (base 2) | 1001010100101 |
| Octal (base 8) | 11245 |
| Hexadecimal (base 16) | 12A5 |
| Base 3 | 20112210 |
| As time | 4773 seconds = 1 h 19 min 33 s |
Is 4773 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 (4773 ÷ 3 = 1591) | 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 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 4773 a prime number?
No. 4773 = 3 × 37 × 43, so it is divisible by 3.
What are the factors of 4773?
1, 3, 37, 43, 111, 129, 1591, 4773.
What is 4773 in binary?
1001010100101 (hexadecimal 12A5, octal 11245).
What is the square root of 4773?
About 69.0869.
Is 4773 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4773?
It is a composite number with 8 divisors.