The number 6500
6500 is a composite number with 24 divisors. Its prime factorisation is × × 13. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250 … 6500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6500 is composite. Its prime factorisation is
- 3
The divisors add up to 15288; without 6500 itself that is 8788, so 6500 is abundant (8788 is more than 6500). Euler's totient φ(6500) = 2400 numbers up to 6500 share no factor with it.
- 4
The digits of 6500 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6500 = 2^{2} \times 5^{3} \times 13 \]6500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 15288 |
| Euler totient φ(n) | 2400 |
| Square | 42250000 |
| Cube | 274625000000 |
| Square root | 80.622577 (= 10√65) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.5 × |
6500 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred |
| Binary (base 2) | 1100101100100 |
| Octal (base 8) | 14544 |
| Hexadecimal (base 16) | 1964 |
| Base 3 | 22220202 |
| As time | 6500 seconds = 1 h 48 min 20 s |
Is 6500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6500 ÷ 2 = 3250) | 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 | Yes (6500 ÷ 4 = 1625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6500 ÷ 5 = 1300) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 | Yes (6500 ÷ 10 = 650) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6500 a prime number?
No. 6500 = × × 13, so it is divisible by 2.
What are the factors of 6500?
1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500.
What is 6500 in binary?
1100101100100 (hexadecimal 1964, octal 14544).
What is the square root of 6500?
About 80.6226, exactly 10√65.
Is 6500 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 6500?
It is a composite number with 24 divisors.