The number 28012
28012 is a composite number with 12 divisors. Its prime factorisation is × 47 × 149. Divisors (12): 1, 2, 4, 47, 94, 149, 188, 298, 596, 7003, 14006, 28012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28012 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 28012 itself that is 22388, so 28012 is deficient (22388 is less than 28012). Euler's totient φ(28012) = 13616 numbers up to 28012 share no factor with it.
- 4
The digits of 28012 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28012 = 2^{2} \times 47 \times 149 \]28012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 13616 |
| Square | 784672144 |
| Cube | 21980236097728 |
| Square root | 167.367858 (= 2√7003) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.8012 × |
28012 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and twelve |
| Binary (base 2) | 110110101101100 |
| Octal (base 8) | 66554 |
| Hexadecimal (base 16) | 6D6C |
| Base 3 | 1102102111 |
| As time | 28012 seconds = 7 h 46 min 52 s |
Is 28012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28012 ÷ 2 = 14006) | 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 (28012 ÷ 4 = 7003) | 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 5) | 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 4) | 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 6) | 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 28012 a prime number?
No. 28012 = × 47 × 149, so it is divisible by 2.
What are the factors of 28012?
1, 2, 4, 47, 94, 149, 188, 298, 596, 7003, 14006, 28012.
What is 28012 in binary?
110110101101100 (hexadecimal 6D6C, octal 66554).
What is the square root of 28012?
About 167.3679, exactly 2√7003.
Is 28012 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 28012?
It is a composite number with 12 divisors.