The number 3111
3111 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 61. Divisors (8): 1, 3, 17, 51, 61, 183, 1037, 3111.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3111 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3111 is composite. Its prime factorisation is
- 3
The divisors add up to 4464; without 3111 itself that is 1353, so 3111 is deficient (1353 is less than 3111). Euler's totient φ(3111) = 1920 numbers up to 3111 share no factor with it.
- 4
The digits of 3111 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3111 = 3 \times 17 \times 61 \]
3111 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4464 |
| Euler totient φ(n) | 1920 |
| Square | 9678321 |
| Cube | 30109256631 |
| Square root | 55.776339 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.111 × |
3111 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and eleven |
| Roman numerals | MMMCXI |
| Binary (base 2) | 110000100111 |
| Octal (base 8) | 6047 |
| Hexadecimal (base 16) | C27 |
| Base 3 | 11021020 |
| As time | 3111 seconds = 51 min 51 s |
Is 3111 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 (3111 ÷ 3 = 1037) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3111 a prime number?
No. 3111 = 3 × 17 × 61, so it is divisible by 3.
What are the factors of 3111?
1, 3, 17, 51, 61, 183, 1037, 3111.
What is 3111 in binary?
110000100111 (hexadecimal C27, octal 6047).
What is the square root of 3111?
About 55.7763.
What is 3111 in Roman numerals?
MMMCXI.
Is 3111 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 3111?
It is a composite number with 8 divisors.