The number 11109
11109 is a composite number with 12 divisors. Its prime factorisation is 3 × 7 × . Divisors (12): 1, 3, 7, 21, 23, 69, 161, 483, 529, 1587, 3703, 11109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11109 is composite. Its prime factorisation is
- 3
The divisors add up to 17696; without 11109 itself that is 6587, so 11109 is deficient (6587 is less than 11109). Euler's totient φ(11109) = 6072 numbers up to 11109 share no factor with it.
- 4
The digits of 11109 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11109 = 3 \times 7 \times 23^{2} \]11109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17696 |
| Euler totient φ(n) | 6072 |
| Square | 123409881 |
| Cube | 1370960368029 |
| Square root | 105.399241 (= 23√21) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1109 × |
11109 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and nine |
| Binary (base 2) | 10101101100101 |
| Octal (base 8) | 25545 |
| Hexadecimal (base 16) | 2B65 |
| Base 3 | 120020110 |
| As time | 11109 seconds = 3 h 5 min 9 s |
Is 11109 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 | Yes (11109 ÷ 3 = 3703) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11109 ÷ 7 = 1587) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11109 a prime number?
No. 11109 = 3 × 7 × , so it is divisible by 3.
What are the factors of 11109?
1, 3, 7, 21, 23, 69, 161, 483, 529, 1587, 3703, 11109.
What is 11109 in binary?
10101101100101 (hexadecimal 2B65, octal 25545).
What is the square root of 11109?
About 105.3992, exactly 23√21.
Is 11109 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 11109?
It is a composite number with 12 divisors.