The number 6507
6507 is a composite number with 8 divisors. Its prime factorisation is × 241. Divisors (8): 1, 3, 9, 27, 241, 723, 2169, 6507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6507 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6507 is composite. Its prime factorisation is
- 3
The divisors add up to 9680; without 6507 itself that is 3173, so 6507 is deficient (3173 is less than 6507). Euler's totient φ(6507) = 4320 numbers up to 6507 share no factor with it.
- 4
The digits of 6507 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6507 = 3^{3} \times 241 \]6507 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9680 |
| Euler totient φ(n) | 4320 |
| Square | 42341049 |
| Cube | 275513205843 |
| Square root | 80.665978 (= 3√723) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.507 × |
6507 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred and seven |
| Binary (base 2) | 1100101101011 |
| Octal (base 8) | 14553 |
| Hexadecimal (base 16) | 196B |
| Base 3 | 22221000 |
| As time | 6507 seconds = 1 h 48 min 27 s |
Is 6507 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 (6507 ÷ 3 = 2169) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6507 ÷ 9 = 723) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6507 a prime number?
No. 6507 = × 241, so it is divisible by 3.
What are the factors of 6507?
1, 3, 9, 27, 241, 723, 2169, 6507.
What is 6507 in binary?
1100101101011 (hexadecimal 196B, octal 14553).
What is the square root of 6507?
About 80.6660, exactly 3√723.
Is 6507 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6507?
It is a composite number with 8 divisors.