The number 49773
49773 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 353. Divisors (8): 1, 3, 47, 141, 353, 1059, 16591, 49773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49773 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49773 is composite. Its prime factorisation is
- 3
The divisors add up to 67968; without 49773 itself that is 18195, so 49773 is deficient (18195 is less than 49773). Euler's totient φ(49773) = 32384 numbers up to 49773 share no factor with it.
- 4
The digits of 49773 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49773 = 3 \times 47 \times 353 \]
49773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67968 |
| Euler totient φ(n) | 32384 |
| Square | 2477351529 |
| Cube | 123305217652917 |
| Square root | 223.098633 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9773 × |
49773 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and seventy-three |
| Binary (base 2) | 1100001001101101 |
| Octal (base 8) | 141155 |
| Hexadecimal (base 16) | C26D |
| Base 3 | 2112021110 |
| As time | 49773 seconds = 13 h 49 min 33 s |
Is 49773 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 (49773 ÷ 3 = 16591) | 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 3) | 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 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 49773 a prime number?
No. 49773 = 3 × 47 × 353, so it is divisible by 3.
What are the factors of 49773?
1, 3, 47, 141, 353, 1059, 16591, 49773.
What is 49773 in binary?
1100001001101101 (hexadecimal C26D, octal 141155).
What is the square root of 49773?
About 223.0986.
Is 49773 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49773?
It is a composite number with 8 divisors.