The number 80084
80084 is a composite number with 6 divisors. Its prime factorisation is × 20021. Divisors (6): 1, 2, 4, 20021, 40042, 80084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80084 is composite. Its prime factorisation is
- 3
The divisors add up to 140154; without 80084 itself that is 60070, so 80084 is deficient (60070 is less than 80084). Euler's totient φ(80084) = 40040 numbers up to 80084 share no factor with it.
- 4
The digits of 80084 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80084 = 2^{2} \times 20021 \]80084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 140154 |
| Euler totient φ(n) | 40040 |
| Square | 6413447056 |
| Cube | 513614494032704 |
| Square root | 282.991166 (= 2√20021) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.0084 × |
80084 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and eighty-four |
| Binary (base 2) | 10011100011010100 |
| Octal (base 8) | 234324 |
| Hexadecimal (base 16) | 138D4 |
| Base 3 | 11001212002 |
| As time | 80084 seconds = 22 h 14 min 44 s |
Is 80084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80084 ÷ 2 = 40042) | 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 (80084 ÷ 4 = 20021) | 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 4) | 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 2) | 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 4) | 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 80084 a prime number?
No. 80084 = × 20021, so it is divisible by 2.
What are the factors of 80084?
1, 2, 4, 20021, 40042, 80084.
What is 80084 in binary?
10011100011010100 (hexadecimal 138D4, octal 234324).
What is the square root of 80084?
About 282.9912, exactly 2√20021.
Is 80084 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80084?
It is a composite number with 6 divisors.