The number 6504
6504 is a composite number with 16 divisors. Its prime factorisation is × 3 × 271. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6504 is composite. Its prime factorisation is
- 3
The divisors add up to 16320; without 6504 itself that is 9816, so 6504 is abundant (9816 is more than 6504). Euler's totient φ(6504) = 2160 numbers up to 6504 share no factor with it.
- 4
The digits of 6504 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6504 = 2^{3} \times 3 \times 271 \]6504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16320 |
| Euler totient φ(n) | 2160 |
| Square | 42302016 |
| Cube | 275132312064 |
| Square root | 80.647381 (= 2√1626) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.504 × |
6504 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred and four |
| Binary (base 2) | 1100101101000 |
| Octal (base 8) | 14550 |
| Hexadecimal (base 16) | 1968 |
| Base 3 | 22220220 |
| As time | 6504 seconds = 1 h 48 min 24 s |
Is 6504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6504 ÷ 2 = 3252) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6504 ÷ 3 = 2168) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6504 ÷ 4 = 1626) | 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 | Yes (6504 ÷ 6 = 1084) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (6504 ÷ 8 = 813) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6504 ÷ 12 = 542) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6504 a prime number?
No. 6504 = × 3 × 271, so it is divisible by 2.
What are the factors of 6504?
1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504.
What is 6504 in binary?
1100101101000 (hexadecimal 1968, octal 14550).
What is the square root of 6504?
About 80.6474, exactly 2√1626.
Is 6504 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6504?
It is a composite number with 16 divisors.