The number 8704
8704 is a composite number with 20 divisors. Its prime factorisation is × 17. Divisors (20): 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544 … 8704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8704 is composite. Its prime factorisation is
- 3
The divisors add up to 18414; without 8704 itself that is 9710, so 8704 is abundant (9710 is more than 8704). Euler's totient φ(8704) = 4096 numbers up to 8704 share no factor with it.
- 4
The digits of 8704 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8704 = 2^{9} \times 17 \]8704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 18414 |
| Euler totient φ(n) | 4096 |
| Square | 75759616 |
| Cube | 659411697664 |
| Square root | 93.295230 (= 16√34) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 21 |
| Scientific notation | 8.704 × |
8704 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and four |
| Binary (base 2) | 10001000000000 |
| Octal (base 8) | 21000 |
| Hexadecimal (base 16) | 2200 |
| Base 3 | 102221101 |
| As time | 8704 seconds = 2 h 25 min 4 s |
Is 8704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8704 ÷ 2 = 4352) | 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 (8704 ÷ 4 = 2176) | 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 3) | 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 (8704 ÷ 8 = 1088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8704 a prime number?
No. 8704 = × 17, so it is divisible by 2.
What are the factors of 8704?
1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704.
What is 8704 in binary?
10001000000000 (hexadecimal 2200, octal 21000).
What is the square root of 8704?
About 93.2952, exactly 16√34.
Is 8704 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8704?
8704 is a happy number: repeatedly adding the squares of its digits reaches 1.