The number 43329
43329 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 101. Divisors (16): 1, 3, 11, 13, 33, 39, 101, 143, 303, 429, 1111, 1313, 3333, 3939, 14443, 43329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43329 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43329 is composite. Its prime factorisation is
- 3
The divisors add up to 68544; without 43329 itself that is 25215, so 43329 is deficient (25215 is less than 43329). Euler's totient φ(43329) = 24000 numbers up to 43329 share no factor with it.
- 4
The digits of 43329 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43329 = 3 \times 11 \times 13 \times 101 \]
43329 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 68544 |
| Euler totient φ(n) | 24000 |
| Square | 1877402241 |
| Cube | 81345961700289 |
| Square root | 208.156191 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3329 × |
43329 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and twenty-nine |
| Binary (base 2) | 1010100101000001 |
| Octal (base 8) | 124501 |
| Hexadecimal (base 16) | A941 |
| Base 3 | 2012102210 |
| As time | 43329 seconds = 12 h 2 min 9 s |
Is 43329 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 (43329 ÷ 3 = 14443) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43329 ÷ 11 = 3939) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43329 a prime number?
No. 43329 = 3 × 11 × 13 × 101, so it is divisible by 3.
What are the factors of 43329?
1, 3, 11, 13, 33, 39, 101, 143, 303, 429, 1111, 1313, 3333, 3939, 14443, 43329.
What is 43329 in binary?
1010100101000001 (hexadecimal A941, octal 124501).
What is the square root of 43329?
About 208.1562.
Is 43329 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43329?
It is a composite number with 16 divisors.