The number 3867
3867 is a composite number with 4 divisors. Its prime factorisation is 3 × 1289. Divisors (4): 1, 3, 1289, 3867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3867: a semiprime: 3 × 1289, the product of two primes.
- 2
3867 is composite. Its prime factorisation is
- 3
The divisors add up to 5160; without 3867 itself that is 1293, so 3867 is deficient (1293 is less than 3867). Euler's totient φ(3867) = 2576 numbers up to 3867 share no factor with it.
- 4
The digits of 3867 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3867 = 3 \times 1289 \]
3867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5160 |
| Euler totient φ(n) | 2576 |
| Square | 14953689 |
| Cube | 57825915363 |
| Square root | 62.185207 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 82 |
| Scientific notation | 3.867 × |
3867 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and sixty-seven |
| Roman numerals | MMMDCCCLXVII |
| Binary (base 2) | 111100011011 |
| Octal (base 8) | 7433 |
| Hexadecimal (base 16) | F1B |
| Base 3 | 12022020 |
| As time | 3867 seconds = 1 h 4 min 27 s |
Is 3867 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 | Yes (3867 ÷ 3 = 1289) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3867 a prime number?
No. 3867 = 3 × 1289, so it is divisible by 3.
What are the factors of 3867?
1, 3, 1289, 3867.
What is 3867 in binary?
111100011011 (hexadecimal F1B, octal 7433).
What is the square root of 3867?
About 62.1852.
What is 3867 in Roman numerals?
MMMDCCCLXVII.
Is 3867 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3867?
3867 is a semiprime: 3 × 1289, the product of two primes.