The number 27938
27938 is a composite number with 8 divisors. Its prime factorisation is 2 × 61 × 229. Divisors (8): 1, 2, 61, 122, 229, 458, 13969, 27938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27938 is composite. Its prime factorisation is
- 3
The divisors add up to 42780; without 27938 itself that is 14842, so 27938 is deficient (14842 is less than 27938). Euler's totient φ(27938) = 13680 numbers up to 27938 share no factor with it.
- 4
The digits of 27938 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27938 = 2 \times 61 \times 229 \]
27938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42780 |
| Euler totient φ(n) | 13680 |
| Square | 780531844 |
| Cube | 21806498657672 |
| Square root | 167.146642 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7938 × |
27938 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and thirty-eight |
| Binary (base 2) | 110110100100010 |
| Octal (base 8) | 66442 |
| Hexadecimal (base 16) | 6D22 |
| Base 3 | 1102022202 |
| As time | 27938 seconds = 7 h 45 min 38 s |
Is 27938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27938 ÷ 2 = 13969) | 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 | No (remainder 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 27938 a prime number?
No. 27938 = 2 × 61 × 229, so it is divisible by 2.
What are the factors of 27938?
1, 2, 61, 122, 229, 458, 13969, 27938.
What is 27938 in binary?
110110100100010 (hexadecimal 6D22, octal 66442).
What is the square root of 27938?
About 167.1466.
Is 27938 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27938?
It is a composite number with 8 divisors.