The number 3116
3116 is a composite number with 12 divisors. Its prime factorisation is × 19 × 41. Divisors (12): 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3116 is composite. Its prime factorisation is
- 3
The divisors add up to 5880; without 3116 itself that is 2764, so 3116 is deficient (2764 is less than 3116). Euler's totient φ(3116) = 1440 numbers up to 3116 share no factor with it.
- 4
The digits of 3116 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3116 = 2^{2} \times 19 \times 41 \]3116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5880 |
| Euler totient φ(n) | 1440 |
| Square | 9709456 |
| Cube | 30254664896 |
| Square root | 55.821143 (= 2√779) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.116 × |
3116 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and sixteen |
| Roman numerals | MMMCXVI |
| Binary (base 2) | 110000101100 |
| Octal (base 8) | 6054 |
| Hexadecimal (base 16) | C2C |
| Base 3 | 11021102 |
| As time | 3116 seconds = 51 min 56 s |
Is 3116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3116 ÷ 2 = 1558) | 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 (3116 ÷ 4 = 779) | 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 1) | 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 3) | 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 3116 a prime number?
No. 3116 = × 19 × 41, so it is divisible by 2.
What are the factors of 3116?
1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116.
What is 3116 in binary?
110000101100 (hexadecimal C2C, octal 6054).
What is the square root of 3116?
About 55.8211, exactly 2√779.
What is 3116 in Roman numerals?
MMMCXVI.
Is 3116 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3116?
It is a composite number with 12 divisors.