The number 16509
16509 is a composite number with 4 divisors. Its prime factorisation is 3 × 5503. Divisors (4): 1, 3, 5503, 16509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16509: a semiprime: 3 × 5503, the product of two primes.
- 2
16509 is composite. Its prime factorisation is
- 3
The divisors add up to 22016; without 16509 itself that is 5507, so 16509 is deficient (5507 is less than 16509). Euler's totient φ(16509) = 11004 numbers up to 16509 share no factor with it.
- 4
The digits of 16509 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16509 = 3 \times 5503 \]
16509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 22016 |
| Euler totient φ(n) | 11004 |
| Square | 272547081 |
| Cube | 4499479760229 |
| Square root | 128.487353 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.6509 × |
16509 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and nine |
| Binary (base 2) | 100000001111101 |
| Octal (base 8) | 40175 |
| Hexadecimal (base 16) | 407D |
| Base 3 | 211122110 |
| As time | 16509 seconds = 4 h 35 min 9 s |
Is 16509 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 (16509 ÷ 3 = 5503) | 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 | No (remainder 3) | 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 9) | 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 16509 a prime number?
No. 16509 = 3 × 5503, so it is divisible by 3.
What are the factors of 16509?
1, 3, 5503, 16509.
What is 16509 in binary?
100000001111101 (hexadecimal 407D, octal 40175).
What is the square root of 16509?
About 128.4874.
Is 16509 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16509?
16509 is a semiprime: 3 × 5503, the product of two primes.