The number 4808
4808 is a composite number with 8 divisors. Its prime factorisation is × 601. Divisors (8): 1, 2, 4, 8, 601, 1202, 2404, 4808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4808 is composite. Its prime factorisation is
- 3
The divisors add up to 9030; without 4808 itself that is 4222, so 4808 is deficient (4222 is less than 4808). Euler's totient φ(4808) = 2400 numbers up to 4808 share no factor with it.
- 4
The digits of 4808 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4808 = 2^{3} \times 601 \]4808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9030 |
| Euler totient φ(n) | 2400 |
| Square | 23116864 |
| Cube | 111145882112 |
| Square root | 69.339743 (= 2√1202) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.808 × |
4808 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and eight |
| Binary (base 2) | 1001011001000 |
| Octal (base 8) | 11310 |
| Hexadecimal (base 16) | 12C8 |
| Base 3 | 20121002 |
| As time | 4808 seconds = 1 h 20 min 8 s |
Is 4808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4808 ÷ 2 = 2404) | 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 (4808 ÷ 4 = 1202) | 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 6) | 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 (4808 ÷ 8 = 601) | 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 1) | 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 4808 a prime number?
No. 4808 = × 601, so it is divisible by 2.
What are the factors of 4808?
1, 2, 4, 8, 601, 1202, 2404, 4808.
What is 4808 in binary?
1001011001000 (hexadecimal 12C8, octal 11310).
What is the square root of 4808?
About 69.3397, exactly 2√1202.
Is 4808 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4808?
It is a composite number with 8 divisors.