The number 52027
52027 is the 5322nd prime number. Its only divisors are 1 and 52027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52027: the 5322nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52027 is prime, so its only factors are 1 and 52027. It is the 5322nd prime; the next prime is 52051 and the one before is 52021.
- 3
The divisors add up to 52028; without 52027 itself that is 1, so 52027 is deficient (1 is less than 52027). Euler's totient φ(52027) = 52026 numbers up to 52027 share no factor with it.
- 4
The digits of 52027 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 65 steps to reach 1.
52027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52028 |
| Euler totient φ(n) | 52026 |
| Square | 2706808729 |
| Cube | 140827137743683 |
| Square root | 228.094279 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.2027 × |
52027 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and twenty-seven |
| Binary (base 2) | 1100101100111011 |
| Octal (base 8) | 145473 |
| Hexadecimal (base 16) | CB3B |
| Base 3 | 2122100221 |
| As time | 52027 seconds = 14 h 27 min 7 s |
Is 52027 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 3) | 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 1) | 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 3) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52027 a prime number?
Yes. 52027 is divisible only by 1 and itself.
What are the factors of 52027?
1, 52027.
What is 52027 in binary?
1100101100111011 (hexadecimal CB3B, octal 145473).
What is the square root of 52027?
About 228.0943.
Is 52027 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52027?
52027 is the 5322nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.