The number 27772
27772 is a palindrome: it reads 27772 backwards too. Its prime factorisation is × 53 × 131. Divisors (12): 1, 2, 4, 53, 106, 131, 212, 262, 524, 6943, 13886, 27772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27772: a palindrome: it reads 27772 backwards too.
- 2
27772 is composite. Its prime factorisation is
- 3
The divisors add up to 49896; without 27772 itself that is 22124, so 27772 is deficient (22124 is less than 27772). Euler's totient φ(27772) = 13520 numbers up to 27772 share no factor with it.
- 4
The digits of 27772 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 258 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27772 = 2^{2} \times 53 \times 131 \]27772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49896 |
| Euler totient φ(n) | 13520 |
| Square | 771283984 |
| Cube | 21420098803648 |
| Square root | 166.649332 (= 2√6943) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 258 |
| Scientific notation | 2.7772 × |
27772 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and seventy-two |
| Binary (base 2) | 110110001111100 |
| Octal (base 8) | 66174 |
| Hexadecimal (base 16) | 6C7C |
| Base 3 | 1102002121 |
| As time | 27772 seconds = 7 h 42 min 52 s |
Is 27772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27772 ÷ 2 = 13886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27772 ÷ 4 = 6943) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27772 a prime number?
No. 27772 = × 53 × 131, so it is divisible by 2.
What are the factors of 27772?
1, 2, 4, 53, 106, 131, 212, 262, 524, 6943, 13886, 27772.
What is 27772 in binary?
110110001111100 (hexadecimal 6C7C, octal 66174).
What is the square root of 27772?
About 166.6493, exactly 2√6943.
Is 27772 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27772?
27772 is a palindrome: it reads 27772 backwards too.