The number 55743
55743 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 1093. Divisors (8): 1, 3, 17, 51, 1093, 3279, 18581, 55743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55743 is composite. Its prime factorisation is
- 3
The divisors add up to 78768; without 55743 itself that is 23025, so 55743 is deficient (23025 is less than 55743). Euler's totient φ(55743) = 34944 numbers up to 55743 share no factor with it.
- 4
The digits of 55743 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55743 = 3 \times 17 \times 1093 \]
55743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78768 |
| Euler totient φ(n) | 34944 |
| Square | 3107282049 |
| Cube | 173209223257407 |
| Square root | 236.099555 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5743 × |
55743 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and forty-three |
| Binary (base 2) | 1101100110111111 |
| Octal (base 8) | 154677 |
| Hexadecimal (base 16) | D9BF |
| Base 3 | 2211110120 |
| As time | 55743 seconds = 15 h 29 min 3 s |
Is 55743 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 (55743 ÷ 3 = 18581) | 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 2) | 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 | No (remainder 6) | 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 6) | 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 55743 a prime number?
No. 55743 = 3 × 17 × 1093, so it is divisible by 3.
What are the factors of 55743?
1, 3, 17, 51, 1093, 3279, 18581, 55743.
What is 55743 in binary?
1101100110111111 (hexadecimal D9BF, octal 154677).
What is the square root of 55743?
About 236.0996.
Is 55743 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55743?
It is a composite number with 8 divisors.