The number 7688
7688 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7688 is composite. Its prime factorisation is
- 3
The divisors add up to 14895; without 7688 itself that is 7207, so 7688 is deficient (7207 is less than 7688). Euler's totient φ(7688) = 3720 numbers up to 7688 share no factor with it.
- 4
The digits of 7688 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7688 = 2^{3} \times 31^{2} \]7688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14895 |
| Euler totient φ(n) | 3720 |
| Square | 59105344 |
| Cube | 454401884672 |
| Square root | 87.681241 (= 62√2) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.688 × |
7688 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and eighty-eight |
| Binary (base 2) | 1111000001000 |
| Octal (base 8) | 17010 |
| Hexadecimal (base 16) | 1E08 |
| Base 3 | 101112202 |
| As time | 7688 seconds = 2 h 8 min 8 s |
Is 7688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7688 ÷ 2 = 3844) | 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 (7688 ÷ 4 = 1922) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (7688 ÷ 8 = 961) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 7688 a prime number?
No. 7688 = × , so it is divisible by 2.
What are the factors of 7688?
1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688.
What is 7688 in binary?
1111000001000 (hexadecimal 1E08, octal 17010).
What is the square root of 7688?
About 87.6812, exactly 62√2.
Is 7688 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 7688?
It is a composite number with 12 divisors.