The number 5743
5743 is a twin prime (5741 and 5743 are both prime) and the 756th prime number. Its only divisors are 1 and 5743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5743: a twin prime (5741 and 5743 are both prime); the 756th prime number.
- 2
5743 is prime, so its only factors are 1 and 5743. It is the 756th prime; the next prime is 5749 and the one before is 5741.
- 3
The divisors add up to 5744; without 5743 itself that is 1, so 5743 is deficient (1 is less than 5743). Euler's totient φ(5743) = 5742 numbers up to 5743 share no factor with it.
- 4
The digits of 5743 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
5743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5744 |
| Euler totient φ(n) | 5742 |
| Square | 32982049 |
| Cube | 189415907407 |
| Square root | 75.782584 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.743 × |
5743 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-three |
| Binary (base 2) | 1011001101111 |
| Octal (base 8) | 13157 |
| Hexadecimal (base 16) | 166F |
| Base 3 | 21212201 |
| As time | 5743 seconds = 1 h 35 min 43 s |
Is 5743 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 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 7) | 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 | No (remainder 1) | 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 5743 a prime number?
Yes. 5743 is divisible only by 1 and itself.
What are the factors of 5743?
1, 5743.
What is 5743 in binary?
1011001101111 (hexadecimal 166F, octal 13157).
What is the square root of 5743?
About 75.7826.
Is 5743 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5743?
5743 is a twin prime (5741 and 5743 are both prime); the 756th prime number.