The number 27321
27321 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1301. Divisors (8): 1, 3, 7, 21, 1301, 3903, 9107, 27321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27321 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 27321 itself that is 14343, so 27321 is deficient (14343 is less than 27321). Euler's totient φ(27321) = 15600 numbers up to 27321 share no factor with it.
- 4
The digits of 27321 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27321 = 3 \times 7 \times 1301 \]
27321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 15600 |
| Square | 746437041 |
| Cube | 20393406397161 |
| Square root | 165.290653 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7321 × |
27321 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and twenty-one |
| Binary (base 2) | 110101010111001 |
| Octal (base 8) | 65271 |
| Hexadecimal (base 16) | 6AB9 |
| Base 3 | 1101110220 |
| As time | 27321 seconds = 7 h 35 min 21 s |
Is 27321 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 (27321 ÷ 3 = 9107) | 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 1) | 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 (27321 ÷ 7 = 3903) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27321 a prime number?
No. 27321 = 3 × 7 × 1301, so it is divisible by 3.
What are the factors of 27321?
1, 3, 7, 21, 1301, 3903, 9107, 27321.
What is 27321 in binary?
110101010111001 (hexadecimal 6AB9, octal 65271).
What is the square root of 27321?
About 165.2907.
Is 27321 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27321?
It is a composite number with 8 divisors.