The number 43389
43389 is a composite number with 8 divisors. Its prime factorisation is × 1607. Divisors (8): 1, 3, 9, 27, 1607, 4821, 14463, 43389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43389: a Harshad number: divisible by its digit sum 27.
- 2
43389 is composite. Its prime factorisation is
- 3
The divisors add up to 64320; without 43389 itself that is 20931, so 43389 is deficient (20931 is less than 43389). Euler's totient φ(43389) = 28908 numbers up to 43389 share no factor with it.
- 4
The digits of 43389 add up to 27, 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
\[ 43389 = 3^{3} \times 1607 \]43389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64320 |
| Euler totient φ(n) | 28908 |
| Square | 1882605321 |
| Cube | 81684362272869 |
| Square root | 208.300264 (= 3√4821) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3389 × |
43389 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and eighty-nine |
| Binary (base 2) | 1010100101111101 |
| Octal (base 8) | 124575 |
| Hexadecimal (base 16) | A97D |
| Base 3 | 2012112000 |
| As time | 43389 seconds = 12 h 3 min 9 s |
Is 43389 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 (43389 ÷ 3 = 14463) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43389 ÷ 9 = 4821) | 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 5) | 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 43389 a prime number?
No. 43389 = × 1607, so it is divisible by 3.
What are the factors of 43389?
1, 3, 9, 27, 1607, 4821, 14463, 43389.
What is 43389 in binary?
1010100101111101 (hexadecimal A97D, octal 124575).
What is the square root of 43389?
About 208.3003, exactly 3√4821.
Is 43389 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 43389?
43389 is a Harshad number: divisible by its digit sum 27.