The number 16209
16209 is a composite number with 6 divisors. Its prime factorisation is × 1801. Divisors (6): 1, 3, 9, 1801, 5403, 16209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16209 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16209 is composite. Its prime factorisation is
- 3
The divisors add up to 23426; without 16209 itself that is 7217, so 16209 is deficient (7217 is less than 16209). Euler's totient φ(16209) = 10800 numbers up to 16209 share no factor with it.
- 4
The digits of 16209 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16209 = 3^{2} \times 1801 \]16209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23426 |
| Euler totient φ(n) | 10800 |
| Square | 262731681 |
| Cube | 4258617817329 |
| Square root | 127.314571 (= 3√1801) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6209 × |
16209 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and nine |
| Binary (base 2) | 11111101010001 |
| Octal (base 8) | 37521 |
| Hexadecimal (base 16) | 3F51 |
| Base 3 | 211020100 |
| As time | 16209 seconds = 4 h 30 min 9 s |
Is 16209 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 (16209 ÷ 3 = 5403) | 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 4) | 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 (16209 ÷ 9 = 1801) | 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 6) | 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 16209 a prime number?
No. 16209 = × 1801, so it is divisible by 3.
What are the factors of 16209?
1, 3, 9, 1801, 5403, 16209.
What is 16209 in binary?
11111101010001 (hexadecimal 3F51, octal 37521).
What is the square root of 16209?
About 127.3146, exactly 3√1801.
Is 16209 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16209?
It is a composite number with 6 divisors.