The number 1118
1118 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 43. Divisors (8): 1, 2, 13, 26, 43, 86, 559, 1118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1118 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1118 is composite. Its prime factorisation is
- 3
The divisors add up to 1848; without 1118 itself that is 730, so 1118 is deficient (730 is less than 1118). Euler's totient φ(1118) = 504 numbers up to 1118 share no factor with it.
- 4
The digits of 1118 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1118 = 2 \times 13 \times 43 \]
1118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1848 |
| Euler totient φ(n) | 504 |
| Square | 1249924 |
| Cube | 1397415032 |
| Square root | 33.436507 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 1.118 × |
1118 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and eighteen |
| Roman numerals | MCXVIII |
| Binary (base 2) | 10001011110 |
| Octal (base 8) | 2136 |
| Hexadecimal (base 16) | 45E |
| Base 3 | 1112102 |
| As time | 1118 seconds = 18 min 38 s |
Is 1118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1118 ÷ 2 = 559) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1118 a prime number?
No. 1118 = 2 × 13 × 43, so it is divisible by 2.
What are the factors of 1118?
1, 2, 13, 26, 43, 86, 559, 1118.
What is 1118 in binary?
10001011110 (hexadecimal 45E, octal 2136).
What is the square root of 1118?
About 33.4365.
What is 1118 in Roman numerals?
MCXVIII.
Is 1118 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1118?
It is a composite number with 8 divisors.