The number 3112
3112 is a composite number with 8 divisors. Its prime factorisation is × 389. Divisors (8): 1, 2, 4, 8, 389, 778, 1556, 3112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3112 is composite. Its prime factorisation is
- 3
The divisors add up to 5850; without 3112 itself that is 2738, so 3112 is deficient (2738 is less than 3112). Euler's totient φ(3112) = 1552 numbers up to 3112 share no factor with it.
- 4
The digits of 3112 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3112 = 2^{3} \times 389 \]3112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5850 |
| Euler totient φ(n) | 1552 |
| Square | 9684544 |
| Cube | 30138300928 |
| Square root | 55.785303 (= 2√778) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.112 × |
3112 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and twelve |
| Roman numerals | MMMCXII |
| Binary (base 2) | 110000101000 |
| Octal (base 8) | 6050 |
| Hexadecimal (base 16) | C28 |
| Base 3 | 11021021 |
| As time | 3112 seconds = 51 min 52 s |
Is 3112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3112 ÷ 2 = 1556) | 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 (3112 ÷ 4 = 778) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 4) | 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 | Yes (3112 ÷ 8 = 389) | 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 2) | 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 3112 a prime number?
No. 3112 = × 389, so it is divisible by 2.
What are the factors of 3112?
1, 2, 4, 8, 389, 778, 1556, 3112.
What is 3112 in binary?
110000101000 (hexadecimal C28, octal 6050).
What is the square root of 3112?
About 55.7853, exactly 2√778.
What is 3112 in Roman numerals?
MMMCXII.
Is 3112 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 3112?
It is a composite number with 8 divisors.