The number 8525
8525 is a composite number with 12 divisors. Its prime factorisation is × 11 × 31. Divisors (12): 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8525 is composite. Its prime factorisation is
- 3
The divisors add up to 11904; without 8525 itself that is 3379, so 8525 is deficient (3379 is less than 8525). Euler's totient φ(8525) = 6000 numbers up to 8525 share no factor with it.
- 4
The digits of 8525 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8525 = 5^{2} \times 11 \times 31 \]8525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11904 |
| Euler totient φ(n) | 6000 |
| Square | 72675625 |
| Cube | 619559703125 |
| Square root | 92.330927 (= 5√341) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.525 × |
8525 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and twenty-five |
| Binary (base 2) | 10000101001101 |
| Octal (base 8) | 20515 |
| Hexadecimal (base 16) | 214D |
| Base 3 | 102200202 |
| As time | 8525 seconds = 2 h 22 min 5 s |
Is 8525 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8525 ÷ 5 = 1705) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8525 ÷ 11 = 775) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8525 a prime number?
No. 8525 = × 11 × 31, so it is divisible by 5.
What are the factors of 8525?
1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525.
What is 8525 in binary?
10000101001101 (hexadecimal 214D, octal 20515).
What is the square root of 8525?
About 92.3309, exactly 5√341.
Is 8525 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8525?
It is a composite number with 12 divisors.