The number 67864
67864 is a composite number with 16 divisors. Its prime factorisation is × 17 × 499. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 499, 998, 1996, 3992, 8483, 16966, 33932, 67864.
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How to work it out
- 1
67864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67864 is composite. Its prime factorisation is
- 3
The divisors add up to 135000; without 67864 itself that is 67136, so 67864 is deficient (67136 is less than 67864). Euler's totient φ(67864) = 31872 numbers up to 67864 share no factor with it.
- 4
The digits of 67864 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67864 = 2^{3} \times 17 \times 499 \]67864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 135000 |
| Euler totient φ(n) | 31872 |
| Square | 4605522496 |
| Cube | 312549178668544 |
| Square root | 260.507198 (= 2√16966) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7864 × |
67864 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and sixty-four |
| Binary (base 2) | 10000100100011000 |
| Octal (base 8) | 204430 |
| Hexadecimal (base 16) | 10918 |
| Base 3 | 10110002111 |
| As time | 67864 seconds = 18 h 51 min 4 s |
Is 67864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67864 ÷ 2 = 33932) | 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 (67864 ÷ 4 = 16966) | 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 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 (67864 ÷ 8 = 8483) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 67864 a prime number?
No. 67864 = × 17 × 499, so it is divisible by 2.
What are the factors of 67864?
1, 2, 4, 8, 17, 34, 68, 136, 499, 998, 1996, 3992, 8483, 16966, 33932, 67864.
What is 67864 in binary?
10000100100011000 (hexadecimal 10918, octal 204430).
What is the square root of 67864?
About 260.5072, exactly 2√16966.
Is 67864 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67864?
It is a composite number with 16 divisors.