The number 11704
11704 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 19. Divisors (32): 1, 2, 4, 7, 8, 11, 14, 19, 22, 28, 38, 44, 56, 76, 77, 88 … 11704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11704 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 11704 itself that is 17096, so 11704 is abundant (17096 is more than 11704). Euler's totient φ(11704) = 4320 numbers up to 11704 share no factor with it.
- 4
The digits of 11704 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11704 = 2^{3} \times 7 \times 11 \times 19 \]11704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 4320 |
| Square | 136983616 |
| Cube | 1603256241664 |
| Square root | 108.185027 (= 2√2926) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.1704 × |
11704 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and four |
| Binary (base 2) | 10110110111000 |
| Octal (base 8) | 26670 |
| Hexadecimal (base 16) | 2DB8 |
| Base 3 | 121001111 |
| As time | 11704 seconds = 3 h 15 min 4 s |
Is 11704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11704 ÷ 2 = 5852) | 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 (11704 ÷ 4 = 2926) | 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 | Yes (11704 ÷ 7 = 1672) | 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 (11704 ÷ 8 = 1463) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (11704 ÷ 11 = 1064) | 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 11704 a prime number?
No. 11704 = × 7 × 11 × 19, so it is divisible by 2.
What are the factors of 11704?
1, 2, 4, 7, 8, 11, 14, 19, 22, 28, 38, 44, 56, 76, 77, 88, 133, 152, 154, 209, 266, 308, 418, 532, 616, 836, 1064, 1463, 1672, 2926, 5852, 11704.
What is 11704 in binary?
10110110111000 (hexadecimal 2DB8, octal 26670).
What is the square root of 11704?
About 108.1850, exactly 2√2926.
Is 11704 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11704?
It is a composite number with 32 divisors.