The number 40443
40443 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 17 × 61. Divisors (16): 1, 3, 13, 17, 39, 51, 61, 183, 221, 663, 793, 1037, 2379, 3111, 13481, 40443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40443 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40443 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 40443 itself that is 22053, so 40443 is deficient (22053 is less than 40443). Euler's totient φ(40443) = 23040 numbers up to 40443 share no factor with it.
- 4
The digits of 40443 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40443 = 3 \times 13 \times 17 \times 61 \]
40443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 23040 |
| Square | 1635636249 |
| Cube | 66150036818307 |
| Square root | 201.104450 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0443 × |
40443 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and forty-three |
| Binary (base 2) | 1001110111111011 |
| Octal (base 8) | 116773 |
| Hexadecimal (base 16) | 9DFB |
| Base 3 | 2001110220 |
| As time | 40443 seconds = 11 h 14 min 3 s |
Is 40443 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 (40443 ÷ 3 = 13481) | 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 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 6) | 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 7) | 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 40443 a prime number?
No. 40443 = 3 × 13 × 17 × 61, so it is divisible by 3.
What are the factors of 40443?
1, 3, 13, 17, 39, 51, 61, 183, 221, 663, 793, 1037, 2379, 3111, 13481, 40443.
What is 40443 in binary?
1001110111111011 (hexadecimal 9DFB, octal 116773).
What is the square root of 40443?
About 201.1045.
Is 40443 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40443?
It is a composite number with 16 divisors.