The number 3808
3808 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136 … 3808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3808 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 3808 itself that is 5264, so 3808 is abundant (5264 is more than 3808). Euler's totient φ(3808) = 1536 numbers up to 3808 share no factor with it.
- 4
The digits of 3808 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3808 = 2^{5} \times 7 \times 17 \]3808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 1536 |
| Square | 14500864 |
| Cube | 55219290112 |
| Square root | 61.708994 (= 4√238) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.808 × |
3808 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and eight |
| Roman numerals | MMMDCCCVIII |
| Binary (base 2) | 111011100000 |
| Octal (base 8) | 7340 |
| Hexadecimal (base 16) | EE0 |
| Base 3 | 12020001 |
| As time | 3808 seconds = 1 h 3 min 28 s |
Is 3808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3808 ÷ 2 = 1904) | 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 (3808 ÷ 4 = 952) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3808 ÷ 7 = 544) | 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 (3808 ÷ 8 = 476) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 3808 a prime number?
No. 3808 = × 7 × 17, so it is divisible by 2.
What are the factors of 3808?
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808.
What is 3808 in binary?
111011100000 (hexadecimal EE0, octal 7340).
What is the square root of 3808?
About 61.7090, exactly 4√238.
What is 3808 in Roman numerals?
MMMDCCCVIII.
Is 3808 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3808?
It is a composite number with 24 divisors.