The number 1443
1443 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 37. Divisors (8): 1, 3, 13, 37, 39, 111, 481, 1443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1443 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1443 is composite. Its prime factorisation is
- 3
The divisors add up to 2128; without 1443 itself that is 685, so 1443 is deficient (685 is less than 1443). Euler's totient φ(1443) = 864 numbers up to 1443 share no factor with it.
- 4
The digits of 1443 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1443 = 3 \times 13 \times 37 \]
1443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2128 |
| Euler totient φ(n) | 864 |
| Square | 2082249 |
| Cube | 3004685307 |
| Square root | 37.986840 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.443 × |
1443 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and forty-three |
| Roman numerals | MCDXLIII |
| Binary (base 2) | 10110100011 |
| Octal (base 8) | 2643 |
| Hexadecimal (base 16) | 5A3 |
| Base 3 | 1222110 |
| As time | 1443 seconds = 24 min 3 s |
Is 1443 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 (1443 ÷ 3 = 481) | 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 1) | 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 3) | 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 2) | 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 1443 a prime number?
No. 1443 = 3 × 13 × 37, so it is divisible by 3.
What are the factors of 1443?
1, 3, 13, 37, 39, 111, 481, 1443.
What is 1443 in binary?
10110100011 (hexadecimal 5A3, octal 2643).
What is the square root of 1443?
About 37.9868.
What is 1443 in Roman numerals?
MCDXLIII.
Is 1443 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1443?
It is a composite number with 8 divisors.