The number 3838
3838 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 101. Divisors (8): 1, 2, 19, 38, 101, 202, 1919, 3838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3838 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3838 is composite. Its prime factorisation is
- 3
The divisors add up to 6120; without 3838 itself that is 2282, so 3838 is deficient (2282 is less than 3838). Euler's totient φ(3838) = 1800 numbers up to 3838 share no factor with it.
- 4
The digits of 3838 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3838 = 2 \times 19 \times 101 \]
3838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6120 |
| Euler totient φ(n) | 1800 |
| Square | 14730244 |
| Cube | 56534676472 |
| Square root | 61.951594 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.838 × |
3838 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and thirty-eight |
| Roman numerals | MMMDCCCXXXVIII |
| Binary (base 2) | 111011111110 |
| Octal (base 8) | 7376 |
| Hexadecimal (base 16) | EFE |
| Base 3 | 12021011 |
| As time | 3838 seconds = 1 h 3 min 58 s |
Is 3838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3838 ÷ 2 = 1919) | 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 | No (remainder 2) | 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 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3838 a prime number?
No. 3838 = 2 × 19 × 101, so it is divisible by 2.
What are the factors of 3838?
1, 2, 19, 38, 101, 202, 1919, 3838.
What is 3838 in binary?
111011111110 (hexadecimal EFE, octal 7376).
What is the square root of 3838?
About 61.9516.
What is 3838 in Roman numerals?
MMMDCCCXXXVIII.
Is 3838 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3838?
It is a composite number with 8 divisors.