The number 8500
8500 is a composite number with 24 divisors. Its prime factorisation is × × 17. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250 … 8500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8500 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 8500 itself that is 11156, so 8500 is abundant (11156 is more than 8500). Euler's totient φ(8500) = 3200 numbers up to 8500 share no factor with it.
- 4
The digits of 8500 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8500 = 2^{2} \times 5^{3} \times 17 \]8500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 3200 |
| Square | 72250000 |
| Cube | 614125000000 |
| Square root | 92.195445 (= 10√85) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.5 × |
8500 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred |
| Binary (base 2) | 10000100110100 |
| Octal (base 8) | 20464 |
| Hexadecimal (base 16) | 2134 |
| Base 3 | 102122211 |
| As time | 8500 seconds = 2 h 21 min 40 s |
Is 8500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8500 ÷ 2 = 4250) | 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 (8500 ÷ 4 = 2125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8500 ÷ 5 = 1700) | 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 2) | 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 | Yes (8500 ÷ 10 = 850) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 8500 a prime number?
No. 8500 = × × 17, so it is divisible by 2.
What are the factors of 8500?
1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500.
What is 8500 in binary?
10000100110100 (hexadecimal 2134, octal 20464).
What is the square root of 8500?
About 92.1954, exactly 10√85.
Is 8500 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8500?
It is a composite number with 24 divisors.