The number 27673
27673 is the 3018th prime number. Its only divisors are 1 and 27673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27673: the 3018th prime number.
- 2
27673 is prime, so its only factors are 1 and 27673. It is the 3018th prime; the next prime is 27689 and the one before is 27653.
- 3
The divisors add up to 27674; without 27673 itself that is 1, so 27673 is deficient (1 is less than 27673). Euler's totient φ(27673) = 27672 numbers up to 27673 share no factor with it.
- 4
The digits of 27673 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
27673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27674 |
| Euler totient φ(n) | 27672 |
| Square | 765794929 |
| Cube | 21191843070217 |
| Square root | 166.352036 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7673 × |
27673 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and seventy-three |
| Binary (base 2) | 110110000011001 |
| Octal (base 8) | 66031 |
| Hexadecimal (base 16) | 6C19 |
| Base 3 | 1101221221 |
| As time | 27673 seconds = 7 h 41 min 13 s |
Is 27673 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 1) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27673 a prime number?
Yes. 27673 is divisible only by 1 and itself.
What are the factors of 27673?
1, 27673.
What is 27673 in binary?
110110000011001 (hexadecimal 6C19, octal 66031).
What is the square root of 27673?
About 166.3520.
Is 27673 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27673?
27673 is the 3018th prime number.