The number 67364
67364 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1531. Divisors (12): 1, 2, 4, 11, 22, 44, 1531, 3062, 6124, 16841, 33682, 67364.
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How to work it out
- 1
67364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67364 is composite. Its prime factorisation is
- 3
The divisors add up to 128688; without 67364 itself that is 61324, so 67364 is deficient (61324 is less than 67364). Euler's totient φ(67364) = 30600 numbers up to 67364 share no factor with it.
- 4
The digits of 67364 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67364 = 2^{2} \times 11 \times 1531 \]67364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 128688 |
| Euler totient φ(n) | 30600 |
| Square | 4537908496 |
| Cube | 305691667924544 |
| Square root | 259.545757 (= 2√16841) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7364 × |
67364 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and sixty-four |
| Binary (base 2) | 10000011100100100 |
| Octal (base 8) | 203444 |
| Hexadecimal (base 16) | 10724 |
| Base 3 | 10102101222 |
| As time | 67364 seconds = 18 h 42 min 44 s |
Is 67364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67364 ÷ 2 = 33682) | 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 (67364 ÷ 4 = 16841) | 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 3) | 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 8) | 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 | Yes (67364 ÷ 11 = 6124) | 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 67364 a prime number?
No. 67364 = × 11 × 1531, so it is divisible by 2.
What are the factors of 67364?
1, 2, 4, 11, 22, 44, 1531, 3062, 6124, 16841, 33682, 67364.
What is 67364 in binary?
10000011100100100 (hexadecimal 10724, octal 203444).
What is the square root of 67364?
About 259.5458, exactly 2√16841.
Is 67364 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67364?
It is a composite number with 12 divisors.