The number 2084
2084 is a composite number with 6 divisors. Its prime factorisation is × 521. Divisors (6): 1, 2, 4, 521, 1042, 2084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2084 is composite. Its prime factorisation is
- 3
The divisors add up to 3654; without 2084 itself that is 1570, so 2084 is deficient (1570 is less than 2084). Euler's totient φ(2084) = 1040 numbers up to 2084 share no factor with it.
- 4
The digits of 2084 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2084 = 2^{2} \times 521 \]2084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3654 |
| Euler totient φ(n) | 1040 |
| Square | 4343056 |
| Cube | 9050928704 |
| Square root | 45.650849 (= 2√521) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 2.084 × |
2084 in other forms
| Form | Value |
|---|---|
| In words | two thousand and eighty-four |
| Roman numerals | MMLXXXIV |
| Binary (base 2) | 100000100100 |
| Octal (base 8) | 4044 |
| Hexadecimal (base 16) | 824 |
| Base 3 | 2212012 |
| As time | 2084 seconds = 34 min 44 s |
Is 2084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2084 ÷ 2 = 1042) | 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 | Yes (2084 ÷ 4 = 521) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2084 a prime number?
No. 2084 = × 521, so it is divisible by 2.
What are the factors of 2084?
1, 2, 4, 521, 1042, 2084.
What is 2084 in binary?
100000100100 (hexadecimal 824, octal 4044).
What is the square root of 2084?
About 45.6508, exactly 2√521.
What is 2084 in Roman numerals?
MMLXXXIV.
Is 2084 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2084?
It is a composite number with 6 divisors.