The number 55609
55609 is the 5641st prime number. Its only divisors are 1 and 55609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55609: the 5641st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55609 is prime, so its only factors are 1 and 55609. It is the 5641st prime; the next prime is 55619 and the one before is 55603.
- 3
The divisors add up to 55610; without 55609 itself that is 1, so 55609 is deficient (1 is less than 55609). Euler's totient φ(55609) = 55608 numbers up to 55609 share no factor with it.
- 4
The digits of 55609 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 259 steps to reach 1.
55609 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55610 |
| Euler totient φ(n) | 55608 |
| Square | 3092360881 |
| Cube | 171963096231529 |
| Square root | 235.815606 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 259 |
| Scientific notation | 5.5609 × |
55609 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and nine |
| Binary (base 2) | 1101100100111001 |
| Octal (base 8) | 154471 |
| Hexadecimal (base 16) | D939 |
| Base 3 | 2211021121 |
| As time | 55609 seconds = 15 h 26 min 49 s |
Is 55609 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 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 4) | 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 55609 a prime number?
Yes. 55609 is divisible only by 1 and itself.
What are the factors of 55609?
1, 55609.
What is 55609 in binary?
1101100100111001 (hexadecimal D939, octal 154471).
What is the square root of 55609?
About 235.8156.
Is 55609 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55609?
55609 is the 5641st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.