The number 7808
7808 is a composite number with 16 divisors. Its prime factorisation is × 61. Divisors (16): 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7808 is composite. Its prime factorisation is
- 3
The divisors add up to 15810; without 7808 itself that is 8002, so 7808 is abundant (8002 is more than 7808). Euler's totient φ(7808) = 3840 numbers up to 7808 share no factor with it.
- 4
The digits of 7808 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7808 = 2^{7} \times 61 \]7808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15810 |
| Euler totient φ(n) | 3840 |
| Square | 60964864 |
| Cube | 476013658112 |
| Square root | 88.362888 (= 8√122) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 26 |
| Scientific notation | 7.808 × |
7808 in other forms
| Form | Value |
|---|---|
| In words | seven thousand eight hundred and eight |
| Binary (base 2) | 1111010000000 |
| Octal (base 8) | 17200 |
| Hexadecimal (base 16) | 1E80 |
| Base 3 | 101201012 |
| As time | 7808 seconds = 2 h 10 min 8 s |
Is 7808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7808 ÷ 2 = 3904) | 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 (7808 ÷ 4 = 1952) | 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 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 (7808 ÷ 8 = 976) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | 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 7808 a prime number?
No. 7808 = × 61, so it is divisible by 2.
What are the factors of 7808?
1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808.
What is 7808 in binary?
1111010000000 (hexadecimal 1E80, octal 17200).
What is the square root of 7808?
About 88.3629, exactly 8√122.
Is 7808 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7808?
It is a composite number with 16 divisors.