The number 67384
67384 is a composite number with 8 divisors. Its prime factorisation is × 8423. Divisors (8): 1, 2, 4, 8, 8423, 16846, 33692, 67384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67384 is composite. Its prime factorisation is
- 3
The divisors add up to 126360; without 67384 itself that is 58976, so 67384 is deficient (58976 is less than 67384). Euler's totient φ(67384) = 33688 numbers up to 67384 share no factor with it.
- 4
The digits of 67384 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67384 = 2^{3} \times 8423 \]67384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 126360 |
| Euler totient φ(n) | 33688 |
| Square | 4540603456 |
| Cube | 305964023279104 |
| Square root | 259.584283 (= 2√16846) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7384 × |
67384 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and eighty-four |
| Binary (base 2) | 10000011100111000 |
| Octal (base 8) | 203470 |
| Hexadecimal (base 16) | 10738 |
| Base 3 | 10102102201 |
| As time | 67384 seconds = 18 h 43 min 4 s |
Is 67384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67384 ÷ 2 = 33692) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67384 ÷ 4 = 16846) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (67384 ÷ 8 = 8423) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67384 a prime number?
No. 67384 = × 8423, so it is divisible by 2.
What are the factors of 67384?
1, 2, 4, 8, 8423, 16846, 33692, 67384.
What is 67384 in binary?
10000011100111000 (hexadecimal 10738, octal 203470).
What is the square root of 67384?
About 259.5843, exactly 2√16846.
Is 67384 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67384?
It is a composite number with 8 divisors.