The number 28504
28504 is a composite number with 16 divisors. Its prime factorisation is × 7 × 509. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 509, 1018, 2036, 3563, 4072, 7126, 14252, 28504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28504: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
28504 is composite. Its prime factorisation is
- 3
The divisors add up to 61200; without 28504 itself that is 32696, so 28504 is abundant (32696 is more than 28504). Euler's totient φ(28504) = 12192 numbers up to 28504 share no factor with it.
- 4
The digits of 28504 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 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28504 = 2^{3} \times 7 \times 509 \]28504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61200 |
| Euler totient φ(n) | 12192 |
| Square | 812478016 |
| Cube | 23158873368064 |
| Square root | 168.831277 (= 2√7126) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.8504 × |
28504 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand five hundred and four |
| Binary (base 2) | 110111101011000 |
| Octal (base 8) | 67530 |
| Hexadecimal (base 16) | 6F58 |
| Base 3 | 1110002201 |
| As time | 28504 seconds = 7 h 55 min 4 s |
Is 28504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28504 ÷ 2 = 14252) | 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 (28504 ÷ 4 = 7126) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28504 ÷ 7 = 4072) | 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 (28504 ÷ 8 = 3563) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 28504 a prime number?
No. 28504 = × 7 × 509, so it is divisible by 2.
What are the factors of 28504?
1, 2, 4, 7, 8, 14, 28, 56, 509, 1018, 2036, 3563, 4072, 7126, 14252, 28504.
What is 28504 in binary?
110111101011000 (hexadecimal 6F58, octal 67530).
What is the square root of 28504?
About 168.8313, exactly 2√7126.
Is 28504 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 28504?
28504 is a happy number: repeatedly adding the squares of its digits reaches 1.