The number 11104
11104 is a composite number with 12 divisors. Its prime factorisation is × 347. Divisors (12): 1, 2, 4, 8, 16, 32, 347, 694, 1388, 2776, 5552, 11104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11104 is composite. Its prime factorisation is
- 3
The divisors add up to 21924; without 11104 itself that is 10820, so 11104 is deficient (10820 is less than 11104). Euler's totient φ(11104) = 5536 numbers up to 11104 share no factor with it.
- 4
The digits of 11104 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11104 = 2^{5} \times 347 \]11104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21924 |
| Euler totient φ(n) | 5536 |
| Square | 123298816 |
| Cube | 1369110052864 |
| Square root | 105.375519 (= 4√694) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1104 × |
11104 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and four |
| Binary (base 2) | 10101101100000 |
| Octal (base 8) | 25540 |
| Hexadecimal (base 16) | 2B60 |
| Base 3 | 120020021 |
| As time | 11104 seconds = 3 h 5 min 4 s |
Is 11104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11104 ÷ 2 = 5552) | 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 (11104 ÷ 4 = 2776) | 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 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 | Yes (11104 ÷ 8 = 1388) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 11104 a prime number?
No. 11104 = × 347, so it is divisible by 2.
What are the factors of 11104?
1, 2, 4, 8, 16, 32, 347, 694, 1388, 2776, 5552, 11104.
What is 11104 in binary?
10101101100000 (hexadecimal 2B60, octal 25540).
What is the square root of 11104?
About 105.3755, exactly 4√694.
Is 11104 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 11104?
11104 is a happy number: repeatedly adding the squares of its digits reaches 1.