The number 6713
6713 is a composite number with 6 divisors. Its prime factorisation is Ć 137. Divisors (6): 1, 7, 49, 137, 959, 6713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6713 is composite. Its prime factorisation is
- 3
The divisors add up to 7866; without 6713 itself that is 1153, so 6713 is deficient (1153 is less than 6713). Euler's totient Ļ(6713) = 5712 numbers up to 6713 share no factor with it.
- 4
The digits of 6713 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6713 = 7^{2} \times 137 \]6713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7866 |
| Euler totient Ļ(n) | 5712 |
| Square | 45064369 |
| Cube | 302517109097 |
| Square root | 81.932899 (= 7ā137) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.713 Ć |
6713 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirteen |
| Binary (base 2) | 1101000111001 |
| Octal (base 8) | 15071 |
| Hexadecimal (base 16) | 1A39 |
| Base 3 | 100012122 |
| As time | 6713 seconds = 1 h 51 min 53 s |
Is 6713 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6713 Ć· 7 = 959) | 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 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6713 a prime number?
No. 6713 = Ć 137, so it is divisible by 7.
What are the factors of 6713?
1, 7, 49, 137, 959, 6713.
What is 6713 in binary?
1101000111001 (hexadecimal 1A39, octal 15071).
What is the square root of 6713?
About 81.9329, exactly 7ā137.
Is 6713 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 6713?
It is a composite number with 6 divisors.