The number 3827
3827 is a composite number with 4 divisors. Its prime factorisation is 43 × 89. Divisors (4): 1, 43, 89, 3827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3827: a semiprime: 43 × 89, the product of two primes.
- 2
3827 is composite. Its prime factorisation is
- 3
The divisors add up to 3960; without 3827 itself that is 133, so 3827 is deficient (133 is less than 3827). Euler's totient φ(3827) = 3696 numbers up to 3827 share no factor with it.
- 4
The digits of 3827 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3827 = 43 \times 89 \]
3827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3960 |
| Euler totient φ(n) | 3696 |
| Square | 14645929 |
| Cube | 56049970283 |
| Square root | 61.862751 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 82 |
| Scientific notation | 3.827 × |
3827 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and twenty-seven |
| Roman numerals | MMMDCCCXXVII |
| Binary (base 2) | 111011110011 |
| Octal (base 8) | 7363 |
| Hexadecimal (base 16) | EF3 |
| Base 3 | 12020202 |
| As time | 3827 seconds = 1 h 3 min 47 s |
Is 3827 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3827 a prime number?
No. 3827 = 43 × 89, so it is divisible by 43.
What are the factors of 3827?
1, 43, 89, 3827.
What is 3827 in binary?
111011110011 (hexadecimal EF3, octal 7363).
What is the square root of 3827?
About 61.8628.
What is 3827 in Roman numerals?
MMMDCCCXXVII.
Is 3827 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3827?
3827 is a semiprime: 43 × 89, the product of two primes.