The number 83084
83084 is a composite number with 6 divisors. Its prime factorisation is × 20771. Divisors (6): 1, 2, 4, 20771, 41542, 83084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83084 is composite. Its prime factorisation is
- 3
The divisors add up to 145404; without 83084 itself that is 62320, so 83084 is deficient (62320 is less than 83084). Euler's totient φ(83084) = 41540 numbers up to 83084 share no factor with it.
- 4
The digits of 83084 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83084 = 2^{2} \times 20771 \]83084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 145404 |
| Euler totient φ(n) | 41540 |
| Square | 6902951056 |
| Cube | 573524785536704 |
| Square root | 288.242953 (= 2√20771) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3084 × |
83084 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and eighty-four |
| Binary (base 2) | 10100010010001100 |
| Octal (base 8) | 242214 |
| Hexadecimal (base 16) | 1448C |
| Base 3 | 11012222012 |
| As time | 83084 seconds = 23 h 4 min 44 s |
Is 83084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83084 ÷ 2 = 41542) | 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 (83084 ÷ 4 = 20771) | 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 1) | 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 83084 a prime number?
No. 83084 = × 20771, so it is divisible by 2.
What are the factors of 83084?
1, 2, 4, 20771, 41542, 83084.
What is 83084 in binary?
10100010010001100 (hexadecimal 1448C, octal 242214).
What is the square root of 83084?
About 288.2430, exactly 2√20771.
Is 83084 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83084?
It is a composite number with 6 divisors.