The number 8504
8504 is a composite number with 8 divisors. Its prime factorisation is × 1063. Divisors (8): 1, 2, 4, 8, 1063, 2126, 4252, 8504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8504 is composite. Its prime factorisation is
- 3
The divisors add up to 15960; without 8504 itself that is 7456, so 8504 is deficient (7456 is less than 8504). Euler's totient φ(8504) = 4248 numbers up to 8504 share no factor with it.
- 4
The digits of 8504 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8504 = 2^{3} \times 1063 \]8504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15960 |
| Euler totient φ(n) | 4248 |
| Square | 72318016 |
| Cube | 614992408064 |
| Square root | 92.217135 (= 2√2126) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.504 × |
8504 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and four |
| Binary (base 2) | 10000100111000 |
| Octal (base 8) | 20470 |
| Hexadecimal (base 16) | 2138 |
| Base 3 | 102122222 |
| As time | 8504 seconds = 2 h 21 min 44 s |
Is 8504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8504 ÷ 2 = 4252) | 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 (8504 ÷ 4 = 2126) | 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 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 (8504 ÷ 8 = 1063) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 8504 a prime number?
No. 8504 = × 1063, so it is divisible by 2.
What are the factors of 8504?
1, 2, 4, 8, 1063, 2126, 4252, 8504.
What is 8504 in binary?
10000100111000 (hexadecimal 2138, octal 20470).
What is the square root of 8504?
About 92.2171, exactly 2√2126.
Is 8504 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8504?
It is a composite number with 8 divisors.