The number 1108
1108 is a composite number with 6 divisors. Its prime factorisation is × 277. Divisors (6): 1, 2, 4, 277, 554, 1108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1108 is composite. Its prime factorisation is
- 3
The divisors add up to 1946; without 1108 itself that is 838, so 1108 is deficient (838 is less than 1108). Euler's totient φ(1108) = 552 numbers up to 1108 share no factor with it.
- 4
The digits of 1108 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1108 = 2^{2} \times 277 \]1108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1946 |
| Euler totient φ(n) | 552 |
| Square | 1227664 |
| Cube | 1360251712 |
| Square root | 33.286634 (= 2√277) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.108 × |
1108 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and eight |
| Roman numerals | MCVIII |
| Binary (base 2) | 10001010100 |
| Octal (base 8) | 2124 |
| Hexadecimal (base 16) | 454 |
| Base 3 | 1112001 |
| As time | 1108 seconds = 18 min 28 s |
Is 1108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1108 ÷ 2 = 554) | 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 (1108 ÷ 4 = 277) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 8) | 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 1108 a prime number?
No. 1108 = × 277, so it is divisible by 2.
What are the factors of 1108?
1, 2, 4, 277, 554, 1108.
What is 1108 in binary?
10001010100 (hexadecimal 454, octal 2124).
What is the square root of 1108?
About 33.2866, exactly 2√277.
What is 1108 in Roman numerals?
MCVIII.
Is 1108 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1108?
It is a composite number with 6 divisors.