The number 6716
6716 is a composite number with 12 divisors. Its prime factorisation is × 23 × 73. Divisors (12): 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6716 is composite. Its prime factorisation is
- 3
The divisors add up to 12432; without 6716 itself that is 5716, so 6716 is deficient (5716 is less than 6716). Euler's totient φ(6716) = 3168 numbers up to 6716 share no factor with it.
- 4
The digits of 6716 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6716 = 2^{2} \times 23 \times 73 \]6716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12432 |
| Euler totient φ(n) | 3168 |
| Square | 45104656 |
| Cube | 302922869696 |
| Square root | 81.951205 (= 2√1679) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.716 × |
6716 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixteen |
| Binary (base 2) | 1101000111100 |
| Octal (base 8) | 15074 |
| Hexadecimal (base 16) | 1A3C |
| Base 3 | 100012202 |
| As time | 6716 seconds = 1 h 51 min 56 s |
Is 6716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6716 ÷ 2 = 3358) | 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 (6716 ÷ 4 = 1679) | 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 2) | 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 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 6716 a prime number?
No. 6716 = × 23 × 73, so it is divisible by 2.
What are the factors of 6716?
1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716.
What is 6716 in binary?
1101000111100 (hexadecimal 1A3C, octal 15074).
What is the square root of 6716?
About 81.9512, exactly 2√1679.
Is 6716 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 6716?
It is a composite number with 12 divisors.