The number 52067
52067 is a twin prime (52067 and 52069 are both prime) and the 5325th prime number. Its only divisors are 1 and 52067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52067: a twin prime (52067 and 52069 are both prime); the 5325th prime number.
- 2
52067 is prime, so its only factors are 1 and 52067. It is the 5325th prime; the next prime is 52069 and the one before is 52057.
- 3
The divisors add up to 52068; without 52067 itself that is 1, so 52067 is deficient (1 is less than 52067). Euler's totient φ(52067) = 52066 numbers up to 52067 share no factor with it.
- 4
The digits of 52067 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
52067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52068 |
| Euler totient φ(n) | 52066 |
| Square | 2710972489 |
| Cube | 141152204584763 |
| Square root | 228.181945 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2067 × |
52067 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and sixty-seven |
| Binary (base 2) | 1100101101100011 |
| Octal (base 8) | 145543 |
| Hexadecimal (base 16) | CB63 |
| Base 3 | 2122102102 |
| As time | 52067 seconds = 14 h 27 min 47 s |
Is 52067 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52067 a prime number?
Yes. 52067 is divisible only by 1 and itself.
What are the factors of 52067?
1, 52067.
What is 52067 in binary?
1100101101100011 (hexadecimal CB63, octal 145543).
What is the square root of 52067?
About 228.1819.
Is 52067 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 52067?
52067 is a twin prime (52067 and 52069 are both prime); the 5325th prime number.