The number 529
529 is a perfect square (23²). Its prime factorisation is . Divisors (3): 1, 23, 529.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 529: a perfect square (23²); the square of a prime (23²).
- 2
529 is composite. Its prime factorisation is
- 3
The divisors add up to 553; without 529 itself that is 24, so 529 is deficient (24 is less than 529). Euler's totient φ(529) = 506 numbers up to 529 share no factor with it.
- 4
The digits of 529 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 529 = 23^{2} \]529 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 553 |
| Euler totient φ(n) | 506 |
| Square | 279841 |
| Cube | 148035889 |
| Square root | 23 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 30 |
| Scientific notation | 5.29 × |
| Perfect power |
529 in other forms
| Form | Value |
|---|---|
| In words | five hundred and twenty-nine |
| Roman numerals | DXXIX |
| Binary (base 2) | 1000010001 |
| Octal (base 8) | 1021 |
| Hexadecimal (base 16) | 211 |
| Base 3 | 201121 |
| As time | 529 seconds = 8 min 49 s |
Is 529 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 1) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 529 a prime number?
No. 529 = , so it is divisible by 23.
What are the factors of 529?
1, 23, 529.
What is 529 in binary?
1000010001 (hexadecimal 211, octal 1021).
What is the square root of 529?
23, because 23 × 23 = 529.
What is 529 in Roman numerals?
DXXIX.
Is 529 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 529?
529 is a perfect square (23²); the square of a prime (23²).