The number 96704
96704 is a composite number with 14 divisors. Its prime factorisation is × 1511. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1511, 3022, 6044, 12088, 24176, 48352, 96704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
96704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96704 is composite. Its prime factorisation is
- 3
The divisors add up to 192024; without 96704 itself that is 95320, so 96704 is deficient (95320 is less than 96704). Euler's totient φ(96704) = 48320 numbers up to 96704 share no factor with it.
- 4
The digits of 96704 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96704 = 2^{6} \times 1511 \]96704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 192024 |
| Euler totient φ(n) | 48320 |
| Square | 9351663616 |
| Cube | 904343278321664 |
| Square root | 310.972668 (= 8√1511) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.6704 × |
96704 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand seven hundred and four |
| Binary (base 2) | 10111100111000000 |
| Octal (base 8) | 274700 |
| Hexadecimal (base 16) | 179C0 |
| Base 3 | 11220122122 |
| As time | 96704 seconds = 26 h 51 min 44 s |
Is 96704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96704 ÷ 2 = 48352) | 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 (96704 ÷ 4 = 24176) | 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 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 (96704 ÷ 8 = 12088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96704 a prime number?
No. 96704 = × 1511, so it is divisible by 2.
What are the factors of 96704?
1, 2, 4, 8, 16, 32, 64, 1511, 3022, 6044, 12088, 24176, 48352, 96704.
What is 96704 in binary?
10111100111000000 (hexadecimal 179C0, octal 274700).
What is the square root of 96704?
About 310.9727, exactly 8√1511.
Is 96704 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 96704?
It is a composite number with 14 divisors.