The number 522
522 is a composite number with 12 divisors. Its prime factorisation is 2 × × 29. Divisors (12): 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 522: a Harshad number: divisible by its digit sum 9.
- 2
522 is composite. Its prime factorisation is
- 3
The divisors add up to 1170; without 522 itself that is 648, so 522 is abundant (648 is more than 522). Euler's totient φ(522) = 168 numbers up to 522 share no factor with it.
- 4
The digits of 522 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 522 = 2 \times 3^{2} \times 29 \]522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1170 |
| Euler totient φ(n) | 168 |
| Square | 272484 |
| Cube | 142236648 |
| Square root | 22.847319 (= 3√58) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.22 × |
522 in other forms
| Form | Value |
|---|---|
| In words | five hundred and twenty-two |
| Roman numerals | DXXII |
| Binary (base 2) | 1000001010 |
| Octal (base 8) | 1012 |
| Hexadecimal (base 16) | 20A |
| Base 3 | 201100 |
| As time | 522 seconds = 8 min 42 s |
Is 522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (522 ÷ 2 = 261) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (522 ÷ 3 = 174) | 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 (522 ÷ 6 = 87) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (522 ÷ 9 = 58) | 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 5) | 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 522 a prime number?
No. 522 = 2 × × 29, so it is divisible by 2.
What are the factors of 522?
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522.
What is 522 in binary?
1000001010 (hexadecimal 20A, octal 1012).
What is the square root of 522?
About 22.8473, exactly 3√58.
What is 522 in Roman numerals?
DXXII.
Is 522 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 522?
522 is a Harshad number: divisible by its digit sum 9.