The number 27931
27931 is a composite number with 8 divisors. Its prime factorisation is 17 × 31 × 53. Divisors (8): 1, 17, 31, 53, 527, 901, 1643, 27931.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27931 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27931 is composite. Its prime factorisation is
- 3
The divisors add up to 31104; without 27931 itself that is 3173, so 27931 is deficient (3173 is less than 27931). Euler's totient φ(27931) = 24960 numbers up to 27931 share no factor with it.
- 4
The digits of 27931 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27931 = 17 \times 31 \times 53 \]
27931 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31104 |
| Euler totient φ(n) | 24960 |
| Square | 780140761 |
| Cube | 21790111595491 |
| Square root | 167.125701 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.7931 × |
27931 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and thirty-one |
| Binary (base 2) | 110110100011011 |
| Octal (base 8) | 66433 |
| Hexadecimal (base 16) | 6D1B |
| Base 3 | 1102022111 |
| As time | 27931 seconds = 7 h 45 min 31 s |
Is 27931 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 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27931 a prime number?
No. 27931 = 17 × 31 × 53, so it is divisible by 17.
What are the factors of 27931?
1, 17, 31, 53, 527, 901, 1643, 27931.
What is 27931 in binary?
110110100011011 (hexadecimal 6D1B, octal 66433).
What is the square root of 27931?
About 167.1257.
Is 27931 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27931?
It is a composite number with 8 divisors.