The number 11443
11443 is the 1380th prime number. Its only divisors are 1 and 11443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11443: the 1380th prime number.
- 2
11443 is prime, so its only factors are 1 and 11443. It is the 1380th prime; the next prime is 11447 and the one before is 11437.
- 3
The divisors add up to 11444; without 11443 itself that is 1, so 11443 is deficient (1 is less than 11443). Euler's totient φ(11443) = 11442 numbers up to 11443 share no factor with it.
- 4
The digits of 11443 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
11443 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11444 |
| Euler totient φ(n) | 11442 |
| Square | 130942249 |
| Cube | 1498372155307 |
| Square root | 106.971959 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1443 × |
11443 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and forty-three |
| Binary (base 2) | 10110010110011 |
| Octal (base 8) | 26263 |
| Hexadecimal (base 16) | 2CB3 |
| Base 3 | 120200211 |
| As time | 11443 seconds = 3 h 10 min 43 s |
Is 11443 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 5) | 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 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 3) | 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 11443 a prime number?
Yes. 11443 is divisible only by 1 and itself.
What are the factors of 11443?
1, 11443.
What is 11443 in binary?
10110010110011 (hexadecimal 2CB3, octal 26263).
What is the square root of 11443?
About 106.9720.
Is 11443 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11443?
11443 is the 1380th prime number.