The number 1109
1109 is the 186th prime number. Its only divisors are 1 and 1109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1109: the 186th prime number.
- 2
1109 is prime, so its only factors are 1 and 1109. It is the 186th prime; the next prime is 1117 and the one before is 1103.
- 3
The divisors add up to 1110; without 1109 itself that is 1, so 1109 is deficient (1 is less than 1109). Euler's totient φ(1109) = 1108 numbers up to 1109 share no factor with it.
- 4
The digits of 1109 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 18 steps to reach 1.
1109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1110 |
| Euler totient φ(n) | 1108 |
| Square | 1229881 |
| Cube | 1363938029 |
| Square root | 33.301652 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.109 × |
1109 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and nine |
| Roman numerals | MCIX |
| Binary (base 2) | 10001010101 |
| Octal (base 8) | 2125 |
| Hexadecimal (base 16) | 455 |
| Base 3 | 1112002 |
| As time | 1109 seconds = 18 min 29 s |
Is 1109 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1109 a prime number?
Yes. 1109 is divisible only by 1 and itself.
What are the factors of 1109?
1, 1109.
What is 1109 in binary?
10001010101 (hexadecimal 455, octal 2125).
What is the square root of 1109?
About 33.3017.
What is 1109 in Roman numerals?
MCIX.
Is 1109 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1109?
1109 is the 186th prime number.