The number 49743
49743 is a composite number with 6 divisors. Its prime factorisation is × 5527. Divisors (6): 1, 3, 9, 5527, 16581, 49743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49743 is composite. Its prime factorisation is
- 3
The divisors add up to 71864; without 49743 itself that is 22121, so 49743 is deficient (22121 is less than 49743). Euler's totient φ(49743) = 33156 numbers up to 49743 share no factor with it.
- 4
The digits of 49743 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49743 = 3^{2} \times 5527 \]49743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 71864 |
| Euler totient φ(n) | 33156 |
| Square | 2474366049 |
| Cube | 123082390375407 |
| Square root | 223.031388 (= 3√5527) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9743 × |
49743 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty-three |
| Binary (base 2) | 1100001001001111 |
| Octal (base 8) | 141117 |
| Hexadecimal (base 16) | C24F |
| Base 3 | 2112020100 |
| As time | 49743 seconds = 13 h 49 min 3 s |
Is 49743 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 (49743 ÷ 3 = 16581) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49743 ÷ 9 = 5527) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49743 a prime number?
No. 49743 = × 5527, so it is divisible by 3.
What are the factors of 49743?
1, 3, 9, 5527, 16581, 49743.
What is 49743 in binary?
1100001001001111 (hexadecimal C24F, octal 141117).
What is the square root of 49743?
About 223.0314, exactly 3√5527.
Is 49743 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49743?
It is a composite number with 6 divisors.