The number 52009
52009 is the 5320th prime number. Its only divisors are 1 and 52009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52009: the 5320th prime number.
- 2
52009 is prime, so its only factors are 1 and 52009. It is the 5320th prime; the next prime is 52021 and the one before is 51991.
- 3
The divisors add up to 52010; without 52009 itself that is 1, so 52009 is deficient (1 is less than 52009). Euler's totient φ(52009) = 52008 numbers up to 52009 share no factor with it.
- 4
The digits of 52009 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 127 steps to reach 1.
52009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52010 |
| Euler totient φ(n) | 52008 |
| Square | 2704936081 |
| Cube | 140681020636729 |
| Square root | 228.054818 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2009 × |
52009 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and nine |
| Binary (base 2) | 1100101100101001 |
| Octal (base 8) | 145451 |
| Hexadecimal (base 16) | CB29 |
| Base 3 | 2122100021 |
| As time | 52009 seconds = 14 h 26 min 49 s |
Is 52009 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 6) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 52009 a prime number?
Yes. 52009 is divisible only by 1 and itself.
What are the factors of 52009?
1, 52009.
What is 52009 in binary?
1100101100101001 (hexadecimal CB29, octal 145451).
What is the square root of 52009?
About 228.0548.
Is 52009 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52009?
52009 is the 5320th prime number.