The number 1112
1112 is a composite number with 8 divisors. Its prime factorisation is × 139. Divisors (8): 1, 2, 4, 8, 139, 278, 556, 1112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1112: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1112 is composite. Its prime factorisation is
- 3
The divisors add up to 2100; without 1112 itself that is 988, so 1112 is deficient (988 is less than 1112). Euler's totient φ(1112) = 552 numbers up to 1112 share no factor with it.
- 4
The digits of 1112 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1112 = 2^{3} \times 139 \]1112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2100 |
| Euler totient φ(n) | 552 |
| Square | 1236544 |
| Cube | 1375036928 |
| Square root | 33.346664 (= 2√278) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.112 × |
1112 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and twelve |
| Roman numerals | MCXII |
| Binary (base 2) | 10001011000 |
| Octal (base 8) | 2130 |
| Hexadecimal (base 16) | 458 |
| Base 3 | 1112012 |
| As time | 1112 seconds = 18 min 32 s |
Is 1112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1112 ÷ 2 = 556) | 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 (1112 ÷ 4 = 278) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (1112 ÷ 8 = 139) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 1112 a prime number?
No. 1112 = × 139, so it is divisible by 2.
What are the factors of 1112?
1, 2, 4, 8, 139, 278, 556, 1112.
What is 1112 in binary?
10001011000 (hexadecimal 458, octal 2130).
What is the square root of 1112?
About 33.3467, exactly 2√278.
What is 1112 in Roman numerals?
MCXII.
Is 1112 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 1112?
1112 is a happy number: repeatedly adding the squares of its digits reaches 1.