The number 52081
52081 is the 5327th prime number. Its only divisors are 1 and 52081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52081: the 5327th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52081 is prime, so its only factors are 1 and 52081. It is the 5327th prime; the next prime is 52103 and the one before is 52069.
- 3
The divisors add up to 52082; without 52081 itself that is 1, so 52081 is deficient (1 is less than 52081). Euler's totient φ(52081) = 52080 numbers up to 52081 share no factor with it.
- 4
The digits of 52081 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 78 steps to reach 1.
52081 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52082 |
| Euler totient φ(n) | 52080 |
| Square | 2712430561 |
| Cube | 141266096047441 |
| Square root | 228.212620 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2081 × |
52081 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and eighty-one |
| Binary (base 2) | 1100101101110001 |
| Octal (base 8) | 145561 |
| Hexadecimal (base 16) | CB71 |
| Base 3 | 2122102221 |
| As time | 52081 seconds = 14 h 28 min 1 s |
Is 52081 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 1) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52081 a prime number?
Yes. 52081 is divisible only by 1 and itself.
What are the factors of 52081?
1, 52081.
What is 52081 in binary?
1100101101110001 (hexadecimal CB71, octal 145561).
What is the square root of 52081?
About 228.2126.
Is 52081 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52081?
52081 is the 5327th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.