The number 16389
16389 is a composite number with 8 divisors. Its prime factorisation is × 607. Divisors (8): 1, 3, 9, 27, 607, 1821, 5463, 16389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16389: a Harshad number: divisible by its digit sum 27.
- 2
16389 is composite. Its prime factorisation is
- 3
The divisors add up to 24320; without 16389 itself that is 7931, so 16389 is deficient (7931 is less than 16389). Euler's totient φ(16389) = 10908 numbers up to 16389 share no factor with it.
- 4
The digits of 16389 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16389 = 3^{3} \times 607 \]16389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24320 |
| Euler totient φ(n) | 10908 |
| Square | 268599321 |
| Cube | 4402074271869 |
| Square root | 128.019530 (= 3√1821) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6389 × |
16389 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and eighty-nine |
| Binary (base 2) | 100000000000101 |
| Octal (base 8) | 40005 |
| Hexadecimal (base 16) | 4005 |
| Base 3 | 211111000 |
| As time | 16389 seconds = 4 h 33 min 9 s |
Is 16389 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 (16389 ÷ 3 = 5463) | 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 2) | 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 (16389 ÷ 9 = 1821) | 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 10) | 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 16389 a prime number?
No. 16389 = × 607, so it is divisible by 3.
What are the factors of 16389?
1, 3, 9, 27, 607, 1821, 5463, 16389.
What is 16389 in binary?
100000000000101 (hexadecimal 4005, octal 40005).
What is the square root of 16389?
About 128.0195, exactly 3√1821.
Is 16389 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16389?
16389 is a Harshad number: divisible by its digit sum 27.