The number 6501
6501 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 197. Divisors (8): 1, 3, 11, 33, 197, 591, 2167, 6501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6501 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6501 is composite. Its prime factorisation is
- 3
The divisors add up to 9504; without 6501 itself that is 3003, so 6501 is deficient (3003 is less than 6501). Euler's totient φ(6501) = 3920 numbers up to 6501 share no factor with it.
- 4
The digits of 6501 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6501 = 3 \times 11 \times 197 \]
6501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9504 |
| Euler totient φ(n) | 3920 |
| Square | 42263001 |
| Cube | 274751769501 |
| Square root | 80.628779 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.501 × |
6501 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred and one |
| Binary (base 2) | 1100101100101 |
| Octal (base 8) | 14545 |
| Hexadecimal (base 16) | 1965 |
| Base 3 | 22220210 |
| As time | 6501 seconds = 1 h 48 min 21 s |
Is 6501 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 (6501 ÷ 3 = 2167) | 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 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6501 ÷ 11 = 591) | 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 6501 a prime number?
No. 6501 = 3 × 11 × 197, so it is divisible by 3.
What are the factors of 6501?
1, 3, 11, 33, 197, 591, 2167, 6501.
What is 6501 in binary?
1100101100101 (hexadecimal 1965, octal 14545).
What is the square root of 6501?
About 80.6288.
Is 6501 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 6501?
It is a composite number with 8 divisors.