The number 7696
7696 is a composite number with 20 divisors. Its prime factorisation is × 13 × 37. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592 … 7696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7696 is composite. Its prime factorisation is
- 3
The divisors add up to 16492; without 7696 itself that is 8796, so 7696 is abundant (8796 is more than 7696). Euler's totient φ(7696) = 3456 numbers up to 7696 share no factor with it.
- 4
The digits of 7696 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7696 = 2^{4} \times 13 \times 37 \]7696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 16492 |
| Euler totient φ(n) | 3456 |
| Square | 59228416 |
| Cube | 455821889536 |
| Square root | 87.726849 (= 4√481) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.696 × |
7696 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and ninety-six |
| Binary (base 2) | 1111000010000 |
| Octal (base 8) | 17020 |
| Hexadecimal (base 16) | 1E10 |
| Base 3 | 101120001 |
| As time | 7696 seconds = 2 h 8 min 16 s |
Is 7696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7696 ÷ 2 = 3848) | 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 (7696 ÷ 4 = 1924) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (7696 ÷ 8 = 962) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 7696 a prime number?
No. 7696 = × 13 × 37, so it is divisible by 2.
What are the factors of 7696?
1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696.
What is 7696 in binary?
1111000010000 (hexadecimal 1E10, octal 17020).
What is the square root of 7696?
About 87.7268, exactly 4√481.
Is 7696 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 7696?
It is a composite number with 20 divisors.