The number 5443
5443 is a twin prime (5441 and 5443 are both prime) and the 720th prime number. Its only divisors are 1 and 5443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5443: a twin prime (5441 and 5443 are both prime); the 720th prime number.
- 2
5443 is prime, so its only factors are 1 and 5443. It is the 720th prime; the next prime is 5449 and the one before is 5441.
- 3
The divisors add up to 5444; without 5443 itself that is 1, so 5443 is deficient (1 is less than 5443). Euler's totient φ(5443) = 5442 numbers up to 5443 share no factor with it.
- 4
The digits of 5443 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
5443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5444 |
| Euler totient φ(n) | 5442 |
| Square | 29626249 |
| Cube | 161255673307 |
| Square root | 73.776690 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.443 × |
5443 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and forty-three |
| Binary (base 2) | 1010101000011 |
| Octal (base 8) | 12503 |
| Hexadecimal (base 16) | 1543 |
| Base 3 | 21110121 |
| As time | 5443 seconds = 1 h 30 min 43 s |
Is 5443 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5443 a prime number?
Yes. 5443 is divisible only by 1 and itself.
What are the factors of 5443?
1, 5443.
What is 5443 in binary?
1010101000011 (hexadecimal 1543, octal 12503).
What is the square root of 5443?
About 73.7767.
Is 5443 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5443?
5443 is a twin prime (5441 and 5443 are both prime); the 720th prime number.