The number 6509
6509 is a composite number with 4 divisors. Its prime factorisation is 23 × 283. Divisors (4): 1, 23, 283, 6509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6509: a semiprime: 23 × 283, the product of two primes.
- 2
6509 is composite. Its prime factorisation is
- 3
The divisors add up to 6816; without 6509 itself that is 307, so 6509 is deficient (307 is less than 6509). Euler's totient φ(6509) = 6204 numbers up to 6509 share no factor with it.
- 4
The digits of 6509 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6509 = 23 \times 283 \]
6509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6816 |
| Euler totient φ(n) | 6204 |
| Square | 42367081 |
| Cube | 275767330229 |
| Square root | 80.678374 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 6.509 × |
6509 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred and nine |
| Binary (base 2) | 1100101101101 |
| Octal (base 8) | 14555 |
| Hexadecimal (base 16) | 196D |
| Base 3 | 22221002 |
| As time | 6509 seconds = 1 h 48 min 29 s |
Is 6509 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6509 a prime number?
No. 6509 = 23 × 283, so it is divisible by 23.
What are the factors of 6509?
1, 23, 283, 6509.
What is 6509 in binary?
1100101101101 (hexadecimal 196D, octal 14555).
What is the square root of 6509?
About 80.6784.
Is 6509 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6509?
6509 is a semiprime: 23 × 283, the product of two primes.