The number 27363
27363 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1303. Divisors (8): 1, 3, 7, 21, 1303, 3909, 9121, 27363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27363: a Harshad number: divisible by its digit sum 21.
- 2
27363 is composite. Its prime factorisation is
- 3
The divisors add up to 41728; without 27363 itself that is 14365, so 27363 is deficient (14365 is less than 27363). Euler's totient φ(27363) = 15624 numbers up to 27363 share no factor with it.
- 4
The digits of 27363 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27363 = 3 \times 7 \times 1303 \]
27363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41728 |
| Euler totient φ(n) | 15624 |
| Square | 748733769 |
| Cube | 20487602121147 |
| Square root | 165.417653 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7363 × |
27363 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and sixty-three |
| Binary (base 2) | 110101011100011 |
| Octal (base 8) | 65343 |
| Hexadecimal (base 16) | 6AE3 |
| Base 3 | 1101112110 |
| As time | 27363 seconds = 7 h 36 min 3 s |
Is 27363 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 (27363 ÷ 3 = 9121) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27363 ÷ 7 = 3909) | 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 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27363 a prime number?
No. 27363 = 3 × 7 × 1303, so it is divisible by 3.
What are the factors of 27363?
1, 3, 7, 21, 1303, 3909, 9121, 27363.
What is 27363 in binary?
110101011100011 (hexadecimal 6AE3, octal 65343).
What is the square root of 27363?
About 165.4177.
Is 27363 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27363?
27363 is a Harshad number: divisible by its digit sum 21.