The number 27838
27838 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 449. Divisors (8): 1, 2, 31, 62, 449, 898, 13919, 27838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27838: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27838 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 27838 itself that is 15362, so 27838 is deficient (15362 is less than 27838). Euler's totient φ(27838) = 13440 numbers up to 27838 share no factor with it.
- 4
The digits of 27838 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27838 = 2 \times 31 \times 449 \]
27838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 13440 |
| Square | 774954244 |
| Cube | 21573176244472 |
| Square root | 166.847236 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7838 × |
27838 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and thirty-eight |
| Binary (base 2) | 110110010111110 |
| Octal (base 8) | 66276 |
| Hexadecimal (base 16) | 6CBE |
| Base 3 | 1102012001 |
| As time | 27838 seconds = 7 h 43 min 58 s |
Is 27838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27838 ÷ 2 = 13919) | 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 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27838 a prime number?
No. 27838 = 2 × 31 × 449, so it is divisible by 2.
What are the factors of 27838?
1, 2, 31, 62, 449, 898, 13919, 27838.
What is 27838 in binary?
110110010111110 (hexadecimal 6CBE, octal 66276).
What is the square root of 27838?
About 166.8472.
Is 27838 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27838?
27838 is a happy number: repeatedly adding the squares of its digits reaches 1.