The number 27764
27764 is a composite number with 12 divisors. Its prime factorisation is × 11 × 631. Divisors (12): 1, 2, 4, 11, 22, 44, 631, 1262, 2524, 6941, 13882, 27764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27764 is composite. Its prime factorisation is
- 3
The divisors add up to 53088; without 27764 itself that is 25324, so 27764 is deficient (25324 is less than 27764). Euler's totient φ(27764) = 12600 numbers up to 27764 share no factor with it.
- 4
The digits of 27764 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27764 = 2^{2} \times 11 \times 631 \]27764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 53088 |
| Euler totient φ(n) | 12600 |
| Square | 770839696 |
| Cube | 21401593319744 |
| Square root | 166.625328 (= 2√6941) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7764 × |
27764 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and sixty-four |
| Binary (base 2) | 110110001110100 |
| Octal (base 8) | 66164 |
| Hexadecimal (base 16) | 6C74 |
| Base 3 | 1102002022 |
| As time | 27764 seconds = 7 h 42 min 44 s |
Is 27764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27764 ÷ 2 = 13882) | 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 (27764 ÷ 4 = 6941) | 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 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 | 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 (27764 ÷ 11 = 2524) | 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 27764 a prime number?
No. 27764 = × 11 × 631, so it is divisible by 2.
What are the factors of 27764?
1, 2, 4, 11, 22, 44, 631, 1262, 2524, 6941, 13882, 27764.
What is 27764 in binary?
110110001110100 (hexadecimal 6C74, octal 66164).
What is the square root of 27764?
About 166.6253, exactly 2√6941.
Is 27764 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27764?
It is a composite number with 12 divisors.