The number 9522
9522 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174 … 9522.
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How to work it out
- 1
What is special about 9522: a Harshad number: divisible by its digit sum 18.
- 2
9522 is composite. Its prime factorisation is
- 3
The divisors add up to 21567; without 9522 itself that is 12045, so 9522 is abundant (12045 is more than 9522). Euler's totient φ(9522) = 3036 numbers up to 9522 share no factor with it.
- 4
The digits of 9522 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9522 = 2 \times 3^{2} \times 23^{2} \]9522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 21567 |
| Euler totient φ(n) | 3036 |
| Square | 90668484 |
| Cube | 863345304648 |
| Square root | 97.580736 (= 69√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 9.522 × |
9522 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and twenty-two |
| Binary (base 2) | 10010100110010 |
| Octal (base 8) | 22462 |
| Hexadecimal (base 16) | 2532 |
| Base 3 | 111001200 |
| As time | 9522 seconds = 2 h 38 min 42 s |
Is 9522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9522 ÷ 2 = 4761) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9522 ÷ 3 = 3174) | 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 | Yes (9522 ÷ 6 = 1587) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9522 ÷ 9 = 1058) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9522 a prime number?
No. 9522 = 2 × × , so it is divisible by 2.
What are the factors of 9522?
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522.
What is 9522 in binary?
10010100110010 (hexadecimal 2532, octal 22462).
What is the square root of 9522?
About 97.5807, exactly 69√2.
Is 9522 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9522?
9522 is a Harshad number: divisible by its digit sum 18.