The number 27638
27638 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1063. Divisors (8): 1, 2, 13, 26, 1063, 2126, 13819, 27638.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27638: a Harshad number: divisible by its digit sum 26.
- 2
27638 is composite. Its prime factorisation is
- 3
The divisors add up to 44688; without 27638 itself that is 17050, so 27638 is deficient (17050 is less than 27638). Euler's totient φ(27638) = 12744 numbers up to 27638 share no factor with it.
- 4
The digits of 27638 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27638 = 2 \times 13 \times 1063 \]
27638 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44688 |
| Euler totient φ(n) | 12744 |
| Square | 763859044 |
| Cube | 21111536258072 |
| Square root | 166.246804 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7638 × |
27638 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and thirty-eight |
| Binary (base 2) | 110101111110110 |
| Octal (base 8) | 65766 |
| Hexadecimal (base 16) | 6BF6 |
| Base 3 | 1101220122 |
| As time | 27638 seconds = 7 h 40 min 38 s |
Is 27638 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27638 ÷ 2 = 13819) | 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 2) | 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 8) | 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 6) | 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 27638 a prime number?
No. 27638 = 2 × 13 × 1063, so it is divisible by 2.
What are the factors of 27638?
1, 2, 13, 26, 1063, 2126, 13819, 27638.
What is 27638 in binary?
110101111110110 (hexadecimal 6BF6, octal 65766).
What is the square root of 27638?
About 166.2468.
Is 27638 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27638?
27638 is a Harshad number: divisible by its digit sum 26.