The number 20084
20084 is a composite number with 6 divisors. Its prime factorisation is × 5021. Divisors (6): 1, 2, 4, 5021, 10042, 20084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20084 is composite. Its prime factorisation is
- 3
The divisors add up to 35154; without 20084 itself that is 15070, so 20084 is deficient (15070 is less than 20084). Euler's totient φ(20084) = 10040 numbers up to 20084 share no factor with it.
- 4
The digits of 20084 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20084 = 2^{2} \times 5021 \]20084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 35154 |
| Euler totient φ(n) | 10040 |
| Square | 403367056 |
| Cube | 8101223952704 |
| Square root | 141.718030 (= 2√5021) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.0084 × |
20084 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and eighty-four |
| Binary (base 2) | 100111001110100 |
| Octal (base 8) | 47164 |
| Hexadecimal (base 16) | 4E74 |
| Base 3 | 1000112212 |
| As time | 20084 seconds = 5 h 34 min 44 s |
Is 20084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20084 ÷ 2 = 10042) | 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 (20084 ÷ 4 = 5021) | 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 1) | 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 9) | 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 20084 a prime number?
No. 20084 = × 5021, so it is divisible by 2.
What are the factors of 20084?
1, 2, 4, 5021, 10042, 20084.
What is 20084 in binary?
100111001110100 (hexadecimal 4E74, octal 47164).
What is the square root of 20084?
About 141.7180, exactly 2√5021.
Is 20084 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 20084?
It is a composite number with 6 divisors.