The number 47773
47773 is a composite number with 8 divisors. Its prime factorisation is 11 × 43 × 101. Divisors (8): 1, 11, 43, 101, 473, 1111, 4343, 47773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47773 is composite. Its prime factorisation is
- 3
The divisors add up to 53856; without 47773 itself that is 6083, so 47773 is deficient (6083 is less than 47773). Euler's totient φ(47773) = 42000 numbers up to 47773 share no factor with it.
- 4
The digits of 47773 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47773 = 11 \times 43 \times 101 \]
47773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 53856 |
| Euler totient φ(n) | 42000 |
| Square | 2282259529 |
| Cube | 109030384478917 |
| Square root | 218.570355 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7773 × |
47773 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and seventy-three |
| Binary (base 2) | 1011101010011101 |
| Octal (base 8) | 135235 |
| Hexadecimal (base 16) | BA9D |
| Base 3 | 2102112101 |
| As time | 47773 seconds = 13 h 16 min 13 s |
Is 47773 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 | 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 | No (remainder 1) | 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 (47773 ÷ 11 = 4343) | 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 47773 a prime number?
No. 47773 = 11 × 43 × 101, so it is divisible by 11.
What are the factors of 47773?
1, 11, 43, 101, 473, 1111, 4343, 47773.
What is 47773 in binary?
1011101010011101 (hexadecimal BA9D, octal 135235).
What is the square root of 47773?
About 218.5704.
Is 47773 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47773?
It is a composite number with 8 divisors.