The number 27776
27776 is a composite number with 32 divisors. Its prime factorisation is × 7 × 31. Divisors (32): 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 128 … 27776.
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How to work it out
- 1
27776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27776 is composite. Its prime factorisation is
- 3
The divisors add up to 65280; without 27776 itself that is 37504, so 27776 is abundant (37504 is more than 27776). Euler's totient φ(27776) = 11520 numbers up to 27776 share no factor with it.
- 4
The digits of 27776 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27776 = 2^{7} \times 7 \times 31 \]27776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 65280 |
| Euler totient φ(n) | 11520 |
| Square | 771506176 |
| Cube | 21429355544576 |
| Square root | 166.661333 (= 8√434) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7776 × |
27776 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and seventy-six |
| Binary (base 2) | 110110010000000 |
| Octal (base 8) | 66200 |
| Hexadecimal (base 16) | 6C80 |
| Base 3 | 1102002202 |
| As time | 27776 seconds = 7 h 42 min 56 s |
Is 27776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27776 ÷ 2 = 13888) | 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 (27776 ÷ 4 = 6944) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (27776 ÷ 7 = 3968) | 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 (27776 ÷ 8 = 3472) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 27776 a prime number?
No. 27776 = × 7 × 31, so it is divisible by 2.
What are the factors of 27776?
1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 128, 217, 224, 248, 434, 448, 496, 868, 896, 992, 1736, 1984, 3472, 3968, 6944, 13888, 27776.
What is 27776 in binary?
110110010000000 (hexadecimal 6C80, octal 66200).
What is the square root of 27776?
About 166.6613, exactly 8√434.
Is 27776 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27776?
It is a composite number with 32 divisors.