The number 2716
2716 is a composite number with 12 divisors. Its prime factorisation is × 7 × 97. Divisors (12): 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2716 is composite. Its prime factorisation is
- 3
The divisors add up to 5488; without 2716 itself that is 2772, so 2716 is abundant (2772 is more than 2716). Euler's totient φ(2716) = 1152 numbers up to 2716 share no factor with it.
- 4
The digits of 2716 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2716 = 2^{2} \times 7 \times 97 \]2716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5488 |
| Euler totient φ(n) | 1152 |
| Square | 7376656 |
| Cube | 20034997696 |
| Square root | 52.115257 (= 2√679) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 2.716 × |
2716 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and sixteen |
| Roman numerals | MMDCCXVI |
| Binary (base 2) | 101010011100 |
| Octal (base 8) | 5234 |
| Hexadecimal (base 16) | A9C |
| Base 3 | 10201121 |
| As time | 2716 seconds = 45 min 16 s |
Is 2716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2716 ÷ 2 = 1358) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2716 ÷ 4 = 679) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2716 ÷ 7 = 388) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2716 a prime number?
No. 2716 = × 7 × 97, so it is divisible by 2.
What are the factors of 2716?
1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716.
What is 2716 in binary?
101010011100 (hexadecimal A9C, octal 5234).
What is the square root of 2716?
About 52.1153, exactly 2√679.
What is 2716 in Roman numerals?
MMDCCXVI.
Is 2716 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2716?
It is a composite number with 12 divisors.