The number 84384
84384 is a composite number with 36 divisors. Its prime factorisation is × × 293. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 84384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84384 is composite. Its prime factorisation is
- 3
The divisors add up to 240786; without 84384 itself that is 156402, so 84384 is abundant (156402 is more than 84384). Euler's totient φ(84384) = 28032 numbers up to 84384 share no factor with it.
- 4
The digits of 84384 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84384 = 2^{5} \times 3^{2} \times 293 \]84384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 240786 |
| Euler totient φ(n) | 28032 |
| Square | 7120659456 |
| Cube | 600869727535104 |
| Square root | 290.489242 (= 12√586) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.4384 × |
84384 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand three hundred and eighty-four |
| Binary (base 2) | 10100100110100000 |
| Octal (base 8) | 244640 |
| Hexadecimal (base 16) | 149A0 |
| Base 3 | 11021202100 |
| As time | 84384 seconds = 23 h 26 min 24 s |
Is 84384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84384 ÷ 2 = 42192) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84384 ÷ 3 = 28128) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84384 ÷ 4 = 21096) | 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 | Yes (84384 ÷ 6 = 14064) | 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 | Yes (84384 ÷ 8 = 10548) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84384 ÷ 9 = 9376) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (84384 ÷ 12 = 7032) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84384 a prime number?
No. 84384 = × × 293, so it is divisible by 2.
What are the factors of 84384?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 4688, 5274, 7032, 9376, 10548, 14064, 21096, 28128, 42192, 84384.
What is 84384 in binary?
10100100110100000 (hexadecimal 149A0, octal 244640).
What is the square root of 84384?
About 290.4892, exactly 12√586.
Is 84384 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 84384?
It is a composite number with 36 divisors.