The number 27770
27770 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 2777. Divisors (8): 1, 2, 5, 10, 2777, 5554, 13885, 27770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27770 is composite. Its prime factorisation is
- 3
The divisors add up to 50004; without 27770 itself that is 22234, so 27770 is deficient (22234 is less than 27770). Euler's totient φ(27770) = 11104 numbers up to 27770 share no factor with it.
- 4
The digits of 27770 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27770 = 2 \times 5 \times 2777 \]
27770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50004 |
| Euler totient φ(n) | 11104 |
| Square | 771172900 |
| Cube | 21415471433000 |
| Square root | 166.643332 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.777 × |
27770 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and seventy |
| Binary (base 2) | 110110001111010 |
| Octal (base 8) | 66172 |
| Hexadecimal (base 16) | 6C7A |
| Base 3 | 1102002112 |
| As time | 27770 seconds = 7 h 42 min 50 s |
Is 27770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27770 ÷ 2 = 13885) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27770 ÷ 5 = 5554) | 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 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27770 ÷ 10 = 2777) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27770 a prime number?
No. 27770 = 2 × 5 × 2777, so it is divisible by 2.
What are the factors of 27770?
1, 2, 5, 10, 2777, 5554, 13885, 27770.
What is 27770 in binary?
110110001111010 (hexadecimal 6C7A, octal 66172).
What is the square root of 27770?
About 166.6433.
Is 27770 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27770?
It is a composite number with 8 divisors.