The number 6513
6513 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 167. Divisors (8): 1, 3, 13, 39, 167, 501, 2171, 6513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6513 is composite. Its prime factorisation is
- 3
The divisors add up to 9408; without 6513 itself that is 2895, so 6513 is deficient (2895 is less than 6513). Euler's totient φ(6513) = 3984 numbers up to 6513 share no factor with it.
- 4
The digits of 6513 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
\[ 6513 = 3 \times 13 \times 167 \]
6513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9408 |
| Euler totient φ(n) | 3984 |
| Square | 42419169 |
| Cube | 276276047697 |
| Square root | 80.703160 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.513 × |
6513 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred and thirteen |
| Binary (base 2) | 1100101110001 |
| Octal (base 8) | 14561 |
| Hexadecimal (base 16) | 1971 |
| Base 3 | 22221020 |
| As time | 6513 seconds = 1 h 48 min 33 s |
Is 6513 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 (6513 ÷ 3 = 2171) | 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 3) | 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 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 6513 a prime number?
No. 6513 = 3 × 13 × 167, so it is divisible by 3.
What are the factors of 6513?
1, 3, 13, 39, 167, 501, 2171, 6513.
What is 6513 in binary?
1100101110001 (hexadecimal 1971, octal 14561).
What is the square root of 6513?
About 80.7032.
Is 6513 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6513?
It is a composite number with 8 divisors.