The number 3842
3842 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 113. Divisors (8): 1, 2, 17, 34, 113, 226, 1921, 3842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3842: a Harshad number: divisible by its digit sum 17.
- 2
3842 is composite. Its prime factorisation is
- 3
The divisors add up to 6156; without 3842 itself that is 2314, so 3842 is deficient (2314 is less than 3842). Euler's totient φ(3842) = 1792 numbers up to 3842 share no factor with it.
- 4
The digits of 3842 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3842 = 2 \times 17 \times 113 \]
3842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6156 |
| Euler totient φ(n) | 1792 |
| Square | 14760964 |
| Cube | 56711623688 |
| Square root | 61.983869 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 144 |
| Scientific notation | 3.842 × |
3842 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and forty-two |
| Roman numerals | MMMDCCCXLII |
| Binary (base 2) | 111100000010 |
| Octal (base 8) | 7402 |
| Hexadecimal (base 16) | F02 |
| Base 3 | 12021022 |
| As time | 3842 seconds = 1 h 4 min 2 s |
Is 3842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3842 ÷ 2 = 1921) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3842 a prime number?
No. 3842 = 2 × 17 × 113, so it is divisible by 2.
What are the factors of 3842?
1, 2, 17, 34, 113, 226, 1921, 3842.
What is 3842 in binary?
111100000010 (hexadecimal F02, octal 7402).
What is the square root of 3842?
About 61.9839.
What is 3842 in Roman numerals?
MMMDCCCXLII.
Is 3842 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3842?
3842 is a Harshad number: divisible by its digit sum 17.