The number 20704
20704 is a composite number with 12 divisors. Its prime factorisation is × 647. Divisors (12): 1, 2, 4, 8, 16, 32, 647, 1294, 2588, 5176, 10352, 20704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20704 is composite. Its prime factorisation is
- 3
The divisors add up to 40824; without 20704 itself that is 20120, so 20704 is deficient (20120 is less than 20704). Euler's totient φ(20704) = 10336 numbers up to 20704 share no factor with it.
- 4
The digits of 20704 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20704 = 2^{5} \times 647 \]20704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 40824 |
| Euler totient φ(n) | 10336 |
| Square | 428655616 |
| Cube | 8874885873664 |
| Square root | 143.888846 (= 4√1294) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0704 × |
20704 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and four |
| Binary (base 2) | 101000011100000 |
| Octal (base 8) | 50340 |
| Hexadecimal (base 16) | 50E0 |
| Base 3 | 1001101211 |
| As time | 20704 seconds = 5 h 45 min 4 s |
Is 20704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20704 ÷ 2 = 10352) | 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 (20704 ÷ 4 = 5176) | 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 5) | 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 (20704 ÷ 8 = 2588) | 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 | No (remainder 2) | 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 20704 a prime number?
No. 20704 = × 647, so it is divisible by 2.
What are the factors of 20704?
1, 2, 4, 8, 16, 32, 647, 1294, 2588, 5176, 10352, 20704.
What is 20704 in binary?
101000011100000 (hexadecimal 50E0, octal 50340).
What is the square root of 20704?
About 143.8888, exactly 4√1294.
Is 20704 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 20704?
It is a composite number with 12 divisors.