The number 27887
27887 is a composite number with 4 divisors. Its prime factorisation is 79 × 353. Divisors (4): 1, 79, 353, 27887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27887: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 353, the product of two primes.
- 2
27887 is composite. Its prime factorisation is
- 3
The divisors add up to 28320; without 27887 itself that is 433, so 27887 is deficient (433 is less than 27887). Euler's totient φ(27887) = 27456 numbers up to 27887 share no factor with it.
- 4
The digits of 27887 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27887 = 79 \times 353 \]
27887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28320 |
| Euler totient φ(n) | 27456 |
| Square | 777684769 |
| Cube | 21687295153103 |
| Square root | 166.994012 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7887 × |
27887 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and eighty-seven |
| Binary (base 2) | 110110011101111 |
| Octal (base 8) | 66357 |
| Hexadecimal (base 16) | 6CEF |
| Base 3 | 1102020212 |
| As time | 27887 seconds = 7 h 44 min 47 s |
Is 27887 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27887 a prime number?
No. 27887 = 79 × 353, so it is divisible by 79.
What are the factors of 27887?
1, 79, 353, 27887.
What is 27887 in binary?
110110011101111 (hexadecimal 6CEF, octal 66357).
What is the square root of 27887?
About 166.9940.
Is 27887 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 27887?
27887 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 353, the product of two primes.