The number 27643
27643 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 359. Divisors (8): 1, 7, 11, 77, 359, 2513, 3949, 27643.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27643 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27643 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 27643 itself that is 6917, so 27643 is deficient (6917 is less than 27643). Euler's totient φ(27643) = 21480 numbers up to 27643 share no factor with it.
- 4
The digits of 27643 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27643 = 7 \times 11 \times 359 \]
27643 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 21480 |
| Square | 764135449 |
| Cube | 21122996216707 |
| Square root | 166.261842 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7643 × |
27643 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and forty-three |
| Binary (base 2) | 110101111111011 |
| Octal (base 8) | 65773 |
| Hexadecimal (base 16) | 6BFB |
| Base 3 | 1101220211 |
| As time | 27643 seconds = 7 h 40 min 43 s |
Is 27643 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 3) | 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 | Yes (27643 ÷ 7 = 3949) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27643 ÷ 11 = 2513) | 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 27643 a prime number?
No. 27643 = 7 × 11 × 359, so it is divisible by 7.
What are the factors of 27643?
1, 7, 11, 77, 359, 2513, 3949, 27643.
What is 27643 in binary?
110101111111011 (hexadecimal 6BFB, octal 65773).
What is the square root of 27643?
About 166.2618.
Is 27643 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27643?
It is a composite number with 8 divisors.