The number 9704
9704 is a composite number with 8 divisors. Its prime factorisation is × 1213. Divisors (8): 1, 2, 4, 8, 1213, 2426, 4852, 9704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9704 is composite. Its prime factorisation is
- 3
The divisors add up to 18210; without 9704 itself that is 8506, so 9704 is deficient (8506 is less than 9704). Euler's totient φ(9704) = 4848 numbers up to 9704 share no factor with it.
- 4
The digits of 9704 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9704 = 2^{3} \times 1213 \]9704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18210 |
| Euler totient φ(n) | 4848 |
| Square | 94167616 |
| Cube | 913802545664 |
| Square root | 98.508883 (= 2√2426) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.704 × |
9704 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and four |
| Binary (base 2) | 10010111101000 |
| Octal (base 8) | 22750 |
| Hexadecimal (base 16) | 25E8 |
| Base 3 | 111022102 |
| As time | 9704 seconds = 2 h 41 min 44 s |
Is 9704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9704 ÷ 2 = 4852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9704 ÷ 4 = 2426) | 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 2) | 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 (9704 ÷ 8 = 1213) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9704 a prime number?
No. 9704 = × 1213, so it is divisible by 2.
What are the factors of 9704?
1, 2, 4, 8, 1213, 2426, 4852, 9704.
What is 9704 in binary?
10010111101000 (hexadecimal 25E8, octal 22750).
What is the square root of 9704?
About 98.5089, exactly 2√2426.
Is 9704 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9704?
It is a composite number with 8 divisors.