The number 27322
27322 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 719. Divisors (8): 1, 2, 19, 38, 719, 1438, 13661, 27322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27322: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27322 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 27322 itself that is 15878, so 27322 is deficient (15878 is less than 27322). Euler's totient φ(27322) = 12924 numbers up to 27322 share no factor with it.
- 4
The digits of 27322 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27322 = 2 \times 19 \times 719 \]
27322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 12924 |
| Square | 746491684 |
| Cube | 20395645790248 |
| Square root | 165.293678 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7322 × |
27322 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and twenty-two |
| Binary (base 2) | 110101010111010 |
| Octal (base 8) | 65272 |
| Hexadecimal (base 16) | 6ABA |
| Base 3 | 1101110221 |
| As time | 27322 seconds = 7 h 35 min 22 s |
Is 27322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27322 ÷ 2 = 13661) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27322 a prime number?
No. 27322 = 2 × 19 × 719, so it is divisible by 2.
What are the factors of 27322?
1, 2, 19, 38, 719, 1438, 13661, 27322.
What is 27322 in binary?
110101010111010 (hexadecimal 6ABA, octal 65272).
What is the square root of 27322?
About 165.2937.
Is 27322 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27322?
27322 is a happy number: repeatedly adding the squares of its digits reaches 1.