The number 27889
27889 is a perfect square (167²). Its prime factorisation is . Divisors (3): 1, 167, 27889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27889: a perfect square (167²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (167²).
- 2
27889 is composite. Its prime factorisation is
- 3
The divisors add up to 28057; without 27889 itself that is 168, so 27889 is deficient (168 is less than 27889). Euler's totient φ(27889) = 27722 numbers up to 27889 share no factor with it.
- 4
The digits of 27889 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27889 = 167^{2} \]27889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 28057 |
| Euler totient φ(n) | 27722 |
| Square | 777796321 |
| Cube | 21691961596369 |
| Square root | 167 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7889 × |
| Perfect power |
27889 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and eighty-nine |
| Binary (base 2) | 110110011110001 |
| Octal (base 8) | 66361 |
| Hexadecimal (base 16) | 6CF1 |
| Base 3 | 1102020221 |
| As time | 27889 seconds = 7 h 44 min 49 s |
Is 27889 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27889 a prime number?
No. 27889 = , so it is divisible by 167.
What are the factors of 27889?
1, 167, 27889.
What is 27889 in binary?
110110011110001 (hexadecimal 6CF1, octal 66361).
What is the square root of 27889?
167, because 167 × 167 = 27889.
Is 27889 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 27889?
27889 is a perfect square (167²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (167²).