The number 28104
28104 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1171. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1171, 2342, 3513, 4684, 7026, 9368, 14052, 28104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28104 is composite. Its prime factorisation is
- 3
The divisors add up to 70320; without 28104 itself that is 42216, so 28104 is abundant (42216 is more than 28104). Euler's totient φ(28104) = 9360 numbers up to 28104 share no factor with it.
- 4
The digits of 28104 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28104 = 2^{3} \times 3 \times 1171 \]28104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70320 |
| Euler totient φ(n) | 9360 |
| Square | 789834816 |
| Cube | 22197517668864 |
| Square root | 167.642477 (= 2√7026) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8104 × |
28104 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand one hundred and four |
| Binary (base 2) | 110110111001000 |
| Octal (base 8) | 66710 |
| Hexadecimal (base 16) | 6DC8 |
| Base 3 | 1102112220 |
| As time | 28104 seconds = 7 h 48 min 24 s |
Is 28104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28104 ÷ 2 = 14052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28104 ÷ 3 = 9368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28104 ÷ 4 = 7026) | 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 | Yes (28104 ÷ 6 = 4684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (28104 ÷ 8 = 3513) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (28104 ÷ 12 = 2342) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28104 a prime number?
No. 28104 = × 3 × 1171, so it is divisible by 2.
What are the factors of 28104?
1, 2, 3, 4, 6, 8, 12, 24, 1171, 2342, 3513, 4684, 7026, 9368, 14052, 28104.
What is 28104 in binary?
110110111001000 (hexadecimal 6DC8, octal 66710).
What is the square root of 28104?
About 167.6425, exactly 2√7026.
Is 28104 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 28104?
It is a composite number with 16 divisors.