The number 27230
27230 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 389. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 389, 778, 1945, 2723, 3890, 5446, 13615, 27230.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27230: a Harshad number: divisible by its digit sum 14.
- 2
27230 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 27230 itself that is 28930, so 27230 is abundant (28930 is more than 27230). Euler's totient φ(27230) = 9312 numbers up to 27230 share no factor with it.
- 4
The digits of 27230 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27230 = 2 \times 5 \times 7 \times 389 \]
27230 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 9312 |
| Square | 741472900 |
| Cube | 20190307067000 |
| Square root | 165.015151 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.723 × |
27230 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and thirty |
| Binary (base 2) | 110101001011110 |
| Octal (base 8) | 65136 |
| Hexadecimal (base 16) | 6A5E |
| Base 3 | 1101100112 |
| As time | 27230 seconds = 7 h 33 min 50 s |
Is 27230 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27230 ÷ 2 = 13615) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (27230 ÷ 5 = 5446) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27230 ÷ 7 = 3890) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27230 ÷ 10 = 2723) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27230 a prime number?
No. 27230 = 2 × 5 × 7 × 389, so it is divisible by 2.
What are the factors of 27230?
1, 2, 5, 7, 10, 14, 35, 70, 389, 778, 1945, 2723, 3890, 5446, 13615, 27230.
What is 27230 in binary?
110101001011110 (hexadecimal 6A5E, octal 65136).
What is the square root of 27230?
About 165.0152.
Is 27230 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27230?
27230 is a Harshad number: divisible by its digit sum 14.