The number 27028
27028 is a triangular number: 1 + 2 + … + 232 = 27028. Its prime factorisation is × 29 × 233. Divisors (12): 1, 2, 4, 29, 58, 116, 233, 466, 932, 6757, 13514, 27028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27028: a triangular number: 1 + 2 + … + 232 = 27028.
- 2
27028 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 27028 itself that is 22112, so 27028 is deficient (22112 is less than 27028). Euler's totient φ(27028) = 12992 numbers up to 27028 share no factor with it.
- 4
The digits of 27028 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27028 = 2^{2} \times 29 \times 233 \]27028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 12992 |
| Square | 730512784 |
| Cube | 19744299525952 |
| Square root | 164.401946 (= 2√6757) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7028 × |
27028 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and twenty-eight |
| Binary (base 2) | 110100110010100 |
| Octal (base 8) | 64624 |
| Hexadecimal (base 16) | 6994 |
| Base 3 | 1101002001 |
| As time | 27028 seconds = 7 h 30 min 28 s |
Is 27028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27028 ÷ 2 = 13514) | 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 | Yes (27028 ÷ 4 = 6757) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27028 a prime number?
No. 27028 = × 29 × 233, so it is divisible by 2.
What are the factors of 27028?
1, 2, 4, 29, 58, 116, 233, 466, 932, 6757, 13514, 27028.
What is 27028 in binary?
110100110010100 (hexadecimal 6994, octal 64624).
What is the square root of 27028?
About 164.4019, exactly 2√6757.
Is 27028 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27028?
27028 is a triangular number: 1 + 2 + … + 232 = 27028.