The number 27993
27993 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 43. Divisors (16): 1, 3, 7, 21, 31, 43, 93, 129, 217, 301, 651, 903, 1333, 3999, 9331, 27993.
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How to work it out
- 1
27993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27993 is composite. Its prime factorisation is
- 3
The divisors add up to 45056; without 27993 itself that is 17063, so 27993 is deficient (17063 is less than 27993). Euler's totient φ(27993) = 15120 numbers up to 27993 share no factor with it.
- 4
The digits of 27993 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27993 = 3 \times 7 \times 31 \times 43 \]
27993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 45056 |
| Euler totient φ(n) | 15120 |
| Square | 783608049 |
| Cube | 21935540115657 |
| Square root | 167.311087 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7993 × |
27993 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and ninety-three |
| Binary (base 2) | 110110101011001 |
| Octal (base 8) | 66531 |
| Hexadecimal (base 16) | 6D59 |
| Base 3 | 1102101210 |
| As time | 27993 seconds = 7 h 46 min 33 s |
Is 27993 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 | Yes (27993 ÷ 3 = 9331) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27993 ÷ 7 = 3999) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27993 a prime number?
No. 27993 = 3 × 7 × 31 × 43, so it is divisible by 3.
What are the factors of 27993?
1, 3, 7, 21, 31, 43, 93, 129, 217, 301, 651, 903, 1333, 3999, 9331, 27993.
What is 27993 in binary?
110110101011001 (hexadecimal 6D59, octal 66531).
What is the square root of 27993?
About 167.3111.
Is 27993 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 27993?
It is a composite number with 16 divisors.