The number 3828
3828 is a triangular number: 1 + 2 + … + 87 = 3828. Its prime factorisation is × 3 × 11 × 29. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132 … 3828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3828: a triangular number: 1 + 2 + … + 87 = 3828.
- 2
3828 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 3828 itself that is 6252, so 3828 is abundant (6252 is more than 3828). Euler's totient φ(3828) = 1120 numbers up to 3828 share no factor with it.
- 4
The digits of 3828 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3828 = 2^{2} \times 3 \times 11 \times 29 \]3828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 1120 |
| Square | 14653584 |
| Cube | 56093919552 |
| Square root | 61.870833 (= 2√957) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.828 × |
3828 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and twenty-eight |
| Roman numerals | MMMDCCCXXVIII |
| Binary (base 2) | 111011110100 |
| Octal (base 8) | 7364 |
| Hexadecimal (base 16) | EF4 |
| Base 3 | 12020210 |
| As time | 3828 seconds = 1 h 3 min 48 s |
Is 3828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3828 ÷ 2 = 1914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3828 ÷ 3 = 1276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3828 ÷ 4 = 957) | 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 | Yes (3828 ÷ 6 = 638) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (3828 ÷ 11 = 348) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3828 ÷ 12 = 319) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3828 a prime number?
No. 3828 = × 3 × 11 × 29, so it is divisible by 2.
What are the factors of 3828?
1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828.
What is 3828 in binary?
111011110100 (hexadecimal EF4, octal 7364).
What is the square root of 3828?
About 61.8708, exactly 2√957.
What is 3828 in Roman numerals?
MMMDCCCXXVIII.
Is 3828 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3828?
3828 is a triangular number: 1 + 2 + … + 87 = 3828.