The number 55049
55049 is a twin prime (55049 and 55051 are both prime) and the 5594th prime number. Its only divisors are 1 and 55049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55049: a twin prime (55049 and 55051 are both prime); the 5594th prime number.
- 2
55049 is prime, so its only factors are 1 and 55049. It is the 5594th prime; the next prime is 55051 and the one before is 55021.
- 3
The divisors add up to 55050; without 55049 itself that is 1, so 55049 is deficient (1 is less than 55049). Euler's totient φ(55049) = 55048 numbers up to 55049 share no factor with it.
- 4
The digits of 55049 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
55049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55050 |
| Euler totient φ(n) | 55048 |
| Square | 3030392401 |
| Cube | 166820071282649 |
| Square root | 234.625233 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.5049 × |
55049 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and forty-nine |
| Binary (base 2) | 1101011100001001 |
| Octal (base 8) | 153411 |
| Hexadecimal (base 16) | D709 |
| Base 3 | 2210111212 |
| As time | 55049 seconds = 15 h 17 min 29 s |
Is 55049 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 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55049 a prime number?
Yes. 55049 is divisible only by 1 and itself.
What are the factors of 55049?
1, 55049.
What is 55049 in binary?
1101011100001001 (hexadecimal D709, octal 153411).
What is the square root of 55049?
About 234.6252.
Is 55049 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55049?
55049 is a twin prime (55049 and 55051 are both prime); the 5594th prime number.