The number 67764
67764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5647. Divisors (12): 1, 2, 3, 4, 6, 12, 5647, 11294, 16941, 22588, 33882, 67764.
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How to work it out
- 1
67764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67764 is composite. Its prime factorisation is
- 3
The divisors add up to 158144; without 67764 itself that is 90380, so 67764 is abundant (90380 is more than 67764). Euler's totient φ(67764) = 22584 numbers up to 67764 share no factor with it.
- 4
The digits of 67764 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67764 = 2^{2} \times 3 \times 5647 \]67764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 158144 |
| Euler totient φ(n) | 22584 |
| Square | 4591959696 |
| Cube | 311169556839744 |
| Square root | 260.315194 (= 2√16941) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7764 × |
67764 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and sixty-four |
| Binary (base 2) | 10000100010110100 |
| Octal (base 8) | 204264 |
| Hexadecimal (base 16) | 108B4 |
| Base 3 | 10102221210 |
| As time | 67764 seconds = 18 h 49 min 24 s |
Is 67764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67764 ÷ 2 = 33882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67764 ÷ 3 = 22588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67764 ÷ 4 = 16941) | 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 (67764 ÷ 6 = 11294) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67764 ÷ 12 = 5647) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67764 a prime number?
No. 67764 = × 3 × 5647, so it is divisible by 2.
What are the factors of 67764?
1, 2, 3, 4, 6, 12, 5647, 11294, 16941, 22588, 33882, 67764.
What is 67764 in binary?
10000100010110100 (hexadecimal 108B4, octal 204264).
What is the square root of 67764?
About 260.3152, exactly 2√16941.
Is 67764 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67764?
It is a composite number with 12 divisors.