The number 83684
83684 is a composite number with 6 divisors. Its prime factorisation is × 20921. Divisors (6): 1, 2, 4, 20921, 41842, 83684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83684 is composite. Its prime factorisation is
- 3
The divisors add up to 146454; without 83684 itself that is 62770, so 83684 is deficient (62770 is less than 83684). Euler's totient φ(83684) = 41840 numbers up to 83684 share no factor with it.
- 4
The digits of 83684 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83684 = 2^{2} \times 20921 \]83684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 146454 |
| Euler totient φ(n) | 41840 |
| Square | 7003011856 |
| Cube | 586040044157504 |
| Square root | 289.281869 (= 2√20921) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.3684 × |
83684 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand six hundred and eighty-four |
| Binary (base 2) | 10100011011100100 |
| Octal (base 8) | 243344 |
| Hexadecimal (base 16) | 146E4 |
| Base 3 | 11020210102 |
| As time | 83684 seconds = 23 h 14 min 44 s |
Is 83684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83684 ÷ 2 = 41842) | 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 (83684 ÷ 4 = 20921) | 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 6) | 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 7) | 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 83684 a prime number?
No. 83684 = × 20921, so it is divisible by 2.
What are the factors of 83684?
1, 2, 4, 20921, 41842, 83684.
What is 83684 in binary?
10100011011100100 (hexadecimal 146E4, octal 243344).
What is the square root of 83684?
About 289.2819, exactly 2√20921.
Is 83684 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 83684?
It is a composite number with 6 divisors.