The number 7684
7684 is a composite number with 12 divisors. Its prime factorisation is × 17 × 113. Divisors (12): 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7684 is composite. Its prime factorisation is
- 3
The divisors add up to 14364; without 7684 itself that is 6680, so 7684 is deficient (6680 is less than 7684). Euler's totient φ(7684) = 3584 numbers up to 7684 share no factor with it.
- 4
The digits of 7684 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7684 = 2^{2} \times 17 \times 113 \]7684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14364 |
| Euler totient φ(n) | 3584 |
| Square | 59043856 |
| Cube | 453692989504 |
| Square root | 87.658428 (= 2√1921) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 7.684 × |
7684 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and eighty-four |
| Binary (base 2) | 1111000000100 |
| Octal (base 8) | 17004 |
| Hexadecimal (base 16) | 1E04 |
| Base 3 | 101112121 |
| As time | 7684 seconds = 2 h 8 min 4 s |
Is 7684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7684 ÷ 2 = 3842) | 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 (7684 ÷ 4 = 1921) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 7684 a prime number?
No. 7684 = × 17 × 113, so it is divisible by 2.
What are the factors of 7684?
1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684.
What is 7684 in binary?
1111000000100 (hexadecimal 1E04, octal 17004).
What is the square root of 7684?
About 87.6584, exactly 2√1921.
Is 7684 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 7684?
It is a composite number with 12 divisors.