The number 52529
52529 is the 5363rd prime number. Its only divisors are 1 and 52529.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52529: the 5363rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52529 is prime, so its only factors are 1 and 52529. It is the 5363rd prime; the next prime is 52541 and the one before is 52517.
- 3
The divisors add up to 52530; without 52529 itself that is 1, so 52529 is deficient (1 is less than 52529). Euler's totient φ(52529) = 52528 numbers up to 52529 share no factor with it.
- 4
The digits of 52529 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
52529 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52530 |
| Euler totient φ(n) | 52528 |
| Square | 2759295841 |
| Cube | 144943051231889 |
| Square root | 229.192059 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2529 × |
52529 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand five hundred and twenty-nine |
| Binary (base 2) | 1100110100110001 |
| Octal (base 8) | 146461 |
| Hexadecimal (base 16) | CD31 |
| Base 3 | 2200001112 |
| As time | 52529 seconds = 14 h 35 min 29 s |
Is 52529 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 | No (remainder 4) | 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 1) | 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 5) | 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 4) | 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 52529 a prime number?
Yes. 52529 is divisible only by 1 and itself.
What are the factors of 52529?
1, 52529.
What is 52529 in binary?
1100110100110001 (hexadecimal CD31, octal 146461).
What is the square root of 52529?
About 229.1921.
Is 52529 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 52529?
52529 is the 5363rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.