The number 8522
8522 is a composite number with 4 divisors. Its prime factorisation is 2 × 4261. Divisors (4): 1, 2, 4261, 8522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8522: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 4261, the product of two primes.
- 2
8522 is composite. Its prime factorisation is
- 3
The divisors add up to 12786; without 8522 itself that is 4264, so 8522 is deficient (4264 is less than 8522). Euler's totient φ(8522) = 4260 numbers up to 8522 share no factor with it.
- 4
The digits of 8522 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
\[ 8522 = 2 \times 4261 \]
8522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12786 |
| Euler totient φ(n) | 4260 |
| Square | 72624484 |
| Cube | 618905852648 |
| Square root | 92.314679 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.522 × |
8522 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and twenty-two |
| Binary (base 2) | 10000101001010 |
| Octal (base 8) | 20512 |
| Hexadecimal (base 16) | 214A |
| Base 3 | 102200122 |
| As time | 8522 seconds = 2 h 22 min 2 s |
Is 8522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8522 ÷ 2 = 4261) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 2) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8522 a prime number?
No. 8522 = 2 × 4261, so it is divisible by 2.
What are the factors of 8522?
1, 2, 4261, 8522.
What is 8522 in binary?
10000101001010 (hexadecimal 214A, octal 20512).
What is the square root of 8522?
About 92.3147.
Is 8522 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8522?
8522 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 4261, the product of two primes.