The number 4084
4084 is a composite number with 6 divisors. Its prime factorisation is × 1021. Divisors (6): 1, 2, 4, 1021, 2042, 4084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4084 is composite. Its prime factorisation is
- 3
The divisors add up to 7154; without 4084 itself that is 3070, so 4084 is deficient (3070 is less than 4084). Euler's totient φ(4084) = 2040 numbers up to 4084 share no factor with it.
- 4
The digits of 4084 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4084 = 2^{2} \times 1021 \]4084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7154 |
| Euler totient φ(n) | 2040 |
| Square | 16679056 |
| Cube | 68117264704 |
| Square root | 63.906181 (= 2√1021) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.084 × |
4084 in other forms
| Form | Value |
|---|---|
| In words | four thousand and eighty-four |
| Binary (base 2) | 111111110100 |
| Octal (base 8) | 7764 |
| Hexadecimal (base 16) | FF4 |
| Base 3 | 12121021 |
| As time | 4084 seconds = 1 h 8 min 4 s |
Is 4084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4084 ÷ 2 = 2042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4084 ÷ 4 = 1021) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4084 a prime number?
No. 4084 = × 1021, so it is divisible by 2.
What are the factors of 4084?
1, 2, 4, 1021, 2042, 4084.
What is 4084 in binary?
111111110100 (hexadecimal FF4, octal 7764).
What is the square root of 4084?
About 63.9062, exactly 2√1021.
Is 4084 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4084?
It is a composite number with 6 divisors.