The number 52189
52189 is the 5337th prime number. Its only divisors are 1 and 52189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52189: the 5337th prime number.
- 2
52189 is prime, so its only factors are 1 and 52189. It is the 5337th prime; the next prime is 52201 and the one before is 52183.
- 3
The divisors add up to 52190; without 52189 itself that is 1, so 52189 is deficient (1 is less than 52189). Euler's totient φ(52189) = 52188 numbers up to 52189 share no factor with it.
- 4
The digits of 52189 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
52189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52190 |
| Euler totient φ(n) | 52188 |
| Square | 2723691721 |
| Cube | 142146747227269 |
| Square root | 228.449119 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 202 |
| Scientific notation | 5.2189 × |
52189 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and eighty-nine |
| Binary (base 2) | 1100101111011101 |
| Octal (base 8) | 145735 |
| Hexadecimal (base 16) | CBDD |
| Base 3 | 2122120221 |
| As time | 52189 seconds = 14 h 29 min 49 s |
Is 52189 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 5) | 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 5) | 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 52189 a prime number?
Yes. 52189 is divisible only by 1 and itself.
What are the factors of 52189?
1, 52189.
What is 52189 in binary?
1100101111011101 (hexadecimal CBDD, octal 145735).
What is the square root of 52189?
About 228.4491.
Is 52189 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 52189?
52189 is the 5337th prime number.