The number 55009
55009 is the 5592nd prime number. Its only divisors are 1 and 55009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55009: the 5592nd prime number.
- 2
55009 is prime, so its only factors are 1 and 55009. It is the 5592nd prime; the next prime is 55021 and the one before is 55001.
- 3
The divisors add up to 55010; without 55009 itself that is 1, so 55009 is deficient (1 is less than 55009). Euler's totient φ(55009) = 55008 numbers up to 55009 share no factor with it.
- 4
The digits of 55009 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
55009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55010 |
| Euler totient φ(n) | 55008 |
| Square | 3025990081 |
| Cube | 166456688365729 |
| Square root | 234.539975 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.5009 × |
55009 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and nine |
| Binary (base 2) | 1101011011100001 |
| Octal (base 8) | 153341 |
| Hexadecimal (base 16) | D6E1 |
| Base 3 | 2210110101 |
| As time | 55009 seconds = 15 h 16 min 49 s |
Is 55009 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 3) | 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 1) | 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 9) | 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 55009 a prime number?
Yes. 55009 is divisible only by 1 and itself.
What are the factors of 55009?
1, 55009.
What is 55009 in binary?
1101011011100001 (hexadecimal D6E1, octal 153341).
What is the square root of 55009?
About 234.5400.
Is 55009 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55009?
55009 is the 5592nd prime number.