The number 16443
16443 is a composite number with 20 divisors. Its prime factorisation is × 7 × 29. Divisors (20): 1, 3, 7, 9, 21, 27, 29, 63, 81, 87, 189, 203, 261, 567, 609, 783 … 16443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16443 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16443 is composite. Its prime factorisation is
- 3
The divisors add up to 29040; without 16443 itself that is 12597, so 16443 is deficient (12597 is less than 16443). Euler's totient φ(16443) = 9072 numbers up to 16443 share no factor with it.
- 4
The digits of 16443 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16443 = 3^{4} \times 7 \times 29 \]16443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 29040 |
| Euler totient φ(n) | 9072 |
| Square | 270372249 |
| Cube | 4445730890307 |
| Square root | 128.230262 (= 9√203) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6443 × |
16443 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and forty-three |
| Binary (base 2) | 100000000111011 |
| Octal (base 8) | 40073 |
| Hexadecimal (base 16) | 403B |
| Base 3 | 211120000 |
| As time | 16443 seconds = 4 h 34 min 3 s |
Is 16443 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 (16443 ÷ 3 = 5481) | 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 | Yes (16443 ÷ 7 = 2349) | 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 | Yes (16443 ÷ 9 = 1827) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16443 a prime number?
No. 16443 = × 7 × 29, so it is divisible by 3.
What are the factors of 16443?
1, 3, 7, 9, 21, 27, 29, 63, 81, 87, 189, 203, 261, 567, 609, 783, 1827, 2349, 5481, 16443.
What is 16443 in binary?
100000000111011 (hexadecimal 403B, octal 40073).
What is the square root of 16443?
About 128.2303, exactly 9√203.
Is 16443 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16443?
It is a composite number with 20 divisors.