The number 55249
55249 is the 5614th prime number. Its only divisors are 1 and 55249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55249: the 5614th prime number.
- 2
55249 is prime, so its only factors are 1 and 55249. It is the 5614th prime; the next prime is 55259 and the one before is 55243.
- 3
The divisors add up to 55250; without 55249 itself that is 1, so 55249 is deficient (1 is less than 55249). Euler's totient φ(55249) = 55248 numbers up to 55249 share no factor with it.
- 4
The digits of 55249 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 122 steps to reach 1.
55249 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55250 |
| Euler totient φ(n) | 55248 |
| Square | 3052452001 |
| Cube | 168644920603249 |
| Square root | 235.051058 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5249 × |
55249 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and forty-nine |
| Binary (base 2) | 1101011111010001 |
| Octal (base 8) | 153721 |
| Hexadecimal (base 16) | D7D1 |
| Base 3 | 2210210021 |
| As time | 55249 seconds = 15 h 20 min 49 s |
Is 55249 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 5) | 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 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 55249 a prime number?
Yes. 55249 is divisible only by 1 and itself.
What are the factors of 55249?
1, 55249.
What is 55249 in binary?
1101011111010001 (hexadecimal D7D1, octal 153721).
What is the square root of 55249?
About 235.0511.
Is 55249 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55249?
55249 is the 5614th prime number.