The number 53743
53743 is a composite number with 4 divisors. Its prime factorisation is 223 × 241. Divisors (4): 1, 223, 241, 53743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53743: a semiprime: 223 × 241, the product of two primes.
- 2
53743 is composite. Its prime factorisation is
- 3
The divisors add up to 54208; without 53743 itself that is 465, so 53743 is deficient (465 is less than 53743). Euler's totient φ(53743) = 53280 numbers up to 53743 share no factor with it.
- 4
The digits of 53743 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53743 = 223 \times 241 \]
53743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 54208 |
| Euler totient φ(n) | 53280 |
| Square | 2888310049 |
| Cube | 155226446963407 |
| Square root | 231.825365 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3743 × |
53743 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and forty-three |
| Binary (base 2) | 1101000111101111 |
| Octal (base 8) | 150757 |
| Hexadecimal (base 16) | D1EF |
| Base 3 | 2201201111 |
| As time | 53743 seconds = 14 h 55 min 43 s |
Is 53743 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53743 a prime number?
No. 53743 = 223 × 241, so it is divisible by 223.
What are the factors of 53743?
1, 223, 241, 53743.
What is 53743 in binary?
1101000111101111 (hexadecimal D1EF, octal 150757).
What is the square root of 53743?
About 231.8254.
Is 53743 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 53743?
53743 is a semiprime: 223 × 241, the product of two primes.