The number 27223
27223 is a composite number with 4 divisors. Its prime factorisation is 7 × 3889. Divisors (4): 1, 7, 3889, 27223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27223: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 3889, the product of two primes.
- 2
27223 is composite. Its prime factorisation is
- 3
The divisors add up to 31120; without 27223 itself that is 3897, so 27223 is deficient (3897 is less than 27223). Euler's totient φ(27223) = 23328 numbers up to 27223 share no factor with it.
- 4
The digits of 27223 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27223 = 7 \times 3889 \]
27223 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 31120 |
| Euler totient φ(n) | 23328 |
| Square | 741091729 |
| Cube | 20174740138567 |
| Square root | 164.993939 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7223 × |
27223 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and twenty-three |
| Binary (base 2) | 110101001010111 |
| Octal (base 8) | 65127 |
| Hexadecimal (base 16) | 6A57 |
| Base 3 | 1101100021 |
| As time | 27223 seconds = 7 h 33 min 43 s |
Is 27223 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27223 ÷ 7 = 3889) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27223 a prime number?
No. 27223 = 7 × 3889, so it is divisible by 7.
What are the factors of 27223?
1, 7, 3889, 27223.
What is 27223 in binary?
110101001010111 (hexadecimal 6A57, octal 65127).
What is the square root of 27223?
About 164.9939.
Is 27223 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27223?
27223 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 3889, the product of two primes.