The number 43809
43809 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 859. Divisors (8): 1, 3, 17, 51, 859, 2577, 14603, 43809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43809 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43809 is composite. Its prime factorisation is
- 3
The divisors add up to 61920; without 43809 itself that is 18111, so 43809 is deficient (18111 is less than 43809). Euler's totient φ(43809) = 27456 numbers up to 43809 share no factor with it.
- 4
The digits of 43809 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43809 = 3 \times 17 \times 859 \]
43809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61920 |
| Euler totient φ(n) | 27456 |
| Square | 1919228481 |
| Cube | 84079480524129 |
| Square root | 209.305996 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3809 × |
43809 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and nine |
| Binary (base 2) | 1010101100100001 |
| Octal (base 8) | 125441 |
| Hexadecimal (base 16) | AB21 |
| Base 3 | 2020002120 |
| As time | 43809 seconds = 12 h 10 min 9 s |
Is 43809 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 (43809 ÷ 3 = 14603) | 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 3) | 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 6) | 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 7) | 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 43809 a prime number?
No. 43809 = 3 × 17 × 859, so it is divisible by 3.
What are the factors of 43809?
1, 3, 17, 51, 859, 2577, 14603, 43809.
What is 43809 in binary?
1010101100100001 (hexadecimal AB21, octal 125441).
What is the square root of 43809?
About 209.3060.
Is 43809 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 43809?
It is a composite number with 8 divisors.