The number 55109
55109 is the 5601st prime number. Its only divisors are 1 and 55109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55109: the 5601st prime number.
- 2
55109 is prime, so its only factors are 1 and 55109. It is the 5601st prime; the next prime is 55117 and the one before is 55103.
- 3
The divisors add up to 55110; without 55109 itself that is 1, so 55109 is deficient (1 is less than 55109). Euler's totient φ(55109) = 55108 numbers up to 55109 share no factor with it.
- 4
The digits of 55109 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
55109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55110 |
| Euler totient φ(n) | 55108 |
| Square | 3037001881 |
| Cube | 167366136660029 |
| Square root | 234.753062 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5109 × |
55109 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and nine |
| Binary (base 2) | 1101011101000101 |
| Octal (base 8) | 153505 |
| Hexadecimal (base 16) | D745 |
| Base 3 | 2210121002 |
| As time | 55109 seconds = 15 h 18 min 29 s |
Is 55109 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55109 a prime number?
Yes. 55109 is divisible only by 1 and itself.
What are the factors of 55109?
1, 55109.
What is 55109 in binary?
1101011101000101 (hexadecimal D745, octal 153505).
What is the square root of 55109?
About 234.7531.
Is 55109 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55109?
55109 is the 5601st prime number.