The number 19704
19704 is a composite number with 16 divisors. Its prime factorisation is × 3 × 821. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 821, 1642, 2463, 3284, 4926, 6568, 9852, 19704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19704 is composite. Its prime factorisation is
- 3
The divisors add up to 49320; without 19704 itself that is 29616, so 19704 is abundant (29616 is more than 19704). Euler's totient φ(19704) = 6560 numbers up to 19704 share no factor with it.
- 4
The digits of 19704 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 211 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19704 = 2^{3} \times 3 \times 821 \]19704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 49320 |
| Euler totient φ(n) | 6560 |
| Square | 388247616 |
| Cube | 7650031025664 |
| Square root | 140.370937 (= 2√4926) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 211 |
| Scientific notation | 1.9704 × |
19704 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand seven hundred and four |
| Binary (base 2) | 100110011111000 |
| Octal (base 8) | 46370 |
| Hexadecimal (base 16) | 4CF8 |
| Base 3 | 1000000210 |
| As time | 19704 seconds = 5 h 28 min 24 s |
Is 19704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19704 ÷ 2 = 9852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19704 ÷ 3 = 6568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (19704 ÷ 4 = 4926) | 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 | Yes (19704 ÷ 6 = 3284) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (19704 ÷ 8 = 2463) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (19704 ÷ 12 = 1642) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19704 a prime number?
No. 19704 = × 3 × 821, so it is divisible by 2.
What are the factors of 19704?
1, 2, 3, 4, 6, 8, 12, 24, 821, 1642, 2463, 3284, 4926, 6568, 9852, 19704.
What is 19704 in binary?
100110011111000 (hexadecimal 4CF8, octal 46370).
What is the square root of 19704?
About 140.3709, exactly 2√4926.
Is 19704 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 19704?
It is a composite number with 16 divisors.