The number 3848
3848 is a composite number with 16 divisors. Its prime factorisation is × 13 × 37. Divisors (16): 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3848 is composite. Its prime factorisation is
- 3
The divisors add up to 7980; without 3848 itself that is 4132, so 3848 is abundant (4132 is more than 3848). Euler's totient φ(3848) = 1728 numbers up to 3848 share no factor with it.
- 4
The digits of 3848 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3848 = 2^{3} \times 13 \times 37 \]3848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7980 |
| Euler totient φ(n) | 1728 |
| Square | 14807104 |
| Cube | 56977736192 |
| Square root | 62.032250 (= 2√962) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.848 × |
3848 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and forty-eight |
| Roman numerals | MMMDCCCXLVIII |
| Binary (base 2) | 111100001000 |
| Octal (base 8) | 7410 |
| Hexadecimal (base 16) | F08 |
| Base 3 | 12021112 |
| As time | 3848 seconds = 1 h 4 min 8 s |
Is 3848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3848 ÷ 2 = 1924) | 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 (3848 ÷ 4 = 962) | 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 5) | 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 (3848 ÷ 8 = 481) | 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 3848 a prime number?
No. 3848 = × 13 × 37, so it is divisible by 2.
What are the factors of 3848?
1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848.
What is 3848 in binary?
111100001000 (hexadecimal F08, octal 7410).
What is the square root of 3848?
About 62.0322, exactly 2√962.
What is 3848 in Roman numerals?
MMMDCCCXLVIII.
Is 3848 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3848?
It is a composite number with 16 divisors.