The number 43209
43209 is a composite number with 6 divisors. Its prime factorisation is × 4801. Divisors (6): 1, 3, 9, 4801, 14403, 43209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43209 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43209 is composite. Its prime factorisation is
- 3
The divisors add up to 62426; without 43209 itself that is 19217, so 43209 is deficient (19217 is less than 43209). Euler's totient φ(43209) = 28800 numbers up to 43209 share no factor with it.
- 4
The digits of 43209 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43209 = 3^{2} \times 4801 \]43209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 62426 |
| Euler totient φ(n) | 28800 |
| Square | 1867017681 |
| Cube | 80671966978329 |
| Square root | 207.867746 (= 3√4801) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3209 × |
43209 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and nine |
| Binary (base 2) | 1010100011001001 |
| Octal (base 8) | 124311 |
| Hexadecimal (base 16) | A8C9 |
| Base 3 | 2012021100 |
| As time | 43209 seconds = 12 h 0 min 9 s |
Is 43209 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 (43209 ÷ 3 = 14403) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43209 ÷ 9 = 4801) | 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 | No (remainder 1) | 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 43209 a prime number?
No. 43209 = × 4801, so it is divisible by 3.
What are the factors of 43209?
1, 3, 9, 4801, 14403, 43209.
What is 43209 in binary?
1010100011001001 (hexadecimal A8C9, octal 124311).
What is the square root of 43209?
About 207.8677, exactly 3√4801.
Is 43209 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43209?
It is a composite number with 6 divisors.