The number 64764
64764 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 257. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 64764.
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How to work it out
- 1
64764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64764 is composite. Its prime factorisation is
- 3
The divisors add up to 187824; without 64764 itself that is 123060, so 64764 is abundant (123060 is more than 64764). Euler's totient φ(64764) = 18432 numbers up to 64764 share no factor with it.
- 4
The digits of 64764 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64764 = 2^{2} \times 3^{2} \times 7 \times 257 \]64764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 187824 |
| Euler totient φ(n) | 18432 |
| Square | 4194375696 |
| Cube | 271644547575744 |
| Square root | 254.487721 (= 6√1799) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.4764 × |
64764 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand seven hundred and sixty-four |
| Binary (base 2) | 1111110011111100 |
| Octal (base 8) | 176374 |
| Hexadecimal (base 16) | FCFC |
| Base 3 | 10021211200 |
| As time | 64764 seconds = 17 h 59 min 24 s |
Is 64764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64764 ÷ 2 = 32382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64764 ÷ 3 = 21588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64764 ÷ 4 = 16191) | 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 (64764 ÷ 6 = 10794) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (64764 ÷ 7 = 9252) | 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 | Yes (64764 ÷ 9 = 7196) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (64764 ÷ 12 = 5397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64764 a prime number?
No. 64764 = × × 7 × 257, so it is divisible by 2.
What are the factors of 64764?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 257, 514, 771, 1028, 1542, 1799, 2313, 3084, 3598, 4626, 5397, 7196, 9252, 10794, 16191, 21588, 32382, 64764.
What is 64764 in binary?
1111110011111100 (hexadecimal FCFC, octal 176374).
What is the square root of 64764?
About 254.4877, exactly 6√1799.
Is 64764 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 64764?
It is a composite number with 36 divisors.