The number 28004
28004 is a composite number with 6 divisors. Its prime factorisation is × 7001. Divisors (6): 1, 2, 4, 7001, 14002, 28004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28004 is composite. Its prime factorisation is
- 3
The divisors add up to 49014; without 28004 itself that is 21010, so 28004 is deficient (21010 is less than 28004). Euler's totient φ(28004) = 14000 numbers up to 28004 share no factor with it.
- 4
The digits of 28004 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28004 = 2^{2} \times 7001 \]28004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 49014 |
| Euler totient φ(n) | 14000 |
| Square | 784224016 |
| Cube | 21961409344064 |
| Square root | 167.343957 (= 2√7001) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.8004 × |
28004 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and four |
| Binary (base 2) | 110110101100100 |
| Octal (base 8) | 66544 |
| Hexadecimal (base 16) | 6D64 |
| Base 3 | 1102102012 |
| As time | 28004 seconds = 7 h 46 min 44 s |
Is 28004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28004 ÷ 2 = 14002) | 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 | Yes (28004 ÷ 4 = 7001) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28004 a prime number?
No. 28004 = × 7001, so it is divisible by 2.
What are the factors of 28004?
1, 2, 4, 7001, 14002, 28004.
What is 28004 in binary?
110110101100100 (hexadecimal 6D64, octal 66544).
What is the square root of 28004?
About 167.3440, exactly 2√7001.
Is 28004 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 28004?
It is a composite number with 6 divisors.