The number 3834
3834 is a composite number with 16 divisors. Its prime factorisation is 2 × × 71. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3834: a Harshad number: divisible by its digit sum 18.
- 2
3834 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 3834 itself that is 4806, so 3834 is abundant (4806 is more than 3834). Euler's totient φ(3834) = 1260 numbers up to 3834 share no factor with it.
- 4
The digits of 3834 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3834 = 2 \times 3^{3} \times 71 \]3834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 1260 |
| Square | 14699556 |
| Cube | 56358097704 |
| Square root | 61.919302 (= 3√426) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.834 × |
3834 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and thirty-four |
| Roman numerals | MMMDCCCXXXIV |
| Binary (base 2) | 111011111010 |
| Octal (base 8) | 7372 |
| Hexadecimal (base 16) | EFA |
| Base 3 | 12021000 |
| As time | 3834 seconds = 1 h 3 min 54 s |
Is 3834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3834 ÷ 2 = 1917) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3834 ÷ 3 = 1278) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3834 ÷ 6 = 639) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3834 ÷ 9 = 426) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3834 a prime number?
No. 3834 = 2 × × 71, so it is divisible by 2.
What are the factors of 3834?
1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834.
What is 3834 in binary?
111011111010 (hexadecimal EFA, octal 7372).
What is the square root of 3834?
About 61.9193, exactly 3√426.
What is 3834 in Roman numerals?
MMMDCCCXXXIV.
Is 3834 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3834?
3834 is a Harshad number: divisible by its digit sum 18.