The number 52249
52249 is the 5341st prime number. Its only divisors are 1 and 52249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52249: the 5341st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52249 is prime, so its only factors are 1 and 52249. It is the 5341st prime; the next prime is 52253 and the one before is 52237.
- 3
The divisors add up to 52250; without 52249 itself that is 1, so 52249 is deficient (1 is less than 52249). Euler's totient φ(52249) = 52248 numbers up to 52249 share no factor with it.
- 4
The digits of 52249 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 277 steps to reach 1.
52249 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52250 |
| Euler totient φ(n) | 52248 |
| Square | 2729958001 |
| Cube | 142637575594249 |
| Square root | 228.580402 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 277 |
| Scientific notation | 5.2249 × |
52249 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand two hundred and forty-nine |
| Binary (base 2) | 1100110000011001 |
| Octal (base 8) | 146031 |
| Hexadecimal (base 16) | CC19 |
| Base 3 | 2122200011 |
| As time | 52249 seconds = 14 h 30 min 49 s |
Is 52249 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 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 4) | 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 10) | 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 52249 a prime number?
Yes. 52249 is divisible only by 1 and itself.
What are the factors of 52249?
1, 52249.
What is 52249 in binary?
1100110000011001 (hexadecimal CC19, octal 146031).
What is the square root of 52249?
About 228.5804.
Is 52249 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 52249?
52249 is the 5341st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.