The number 55667
55667 is the 5649th prime number. Its only divisors are 1 and 55667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55667: the 5649th prime number.
- 2
55667 is prime, so its only factors are 1 and 55667. It is the 5649th prime; the next prime is 55673 and the one before is 55663.
- 3
The divisors add up to 55668; without 55667 itself that is 1, so 55667 is deficient (1 is less than 55667). Euler's totient φ(55667) = 55666 numbers up to 55667 share no factor with it.
- 4
The digits of 55667 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55667 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55668 |
| Euler totient φ(n) | 55666 |
| Square | 3098814889 |
| Cube | 172501728425963 |
| Square root | 235.938551 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5667 × |
55667 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and sixty-seven |
| Binary (base 2) | 1101100101110011 |
| Octal (base 8) | 154563 |
| Hexadecimal (base 16) | D973 |
| Base 3 | 2211100202 |
| As time | 55667 seconds = 15 h 27 min 47 s |
Is 55667 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55667 a prime number?
Yes. 55667 is divisible only by 1 and itself.
What are the factors of 55667?
1, 55667.
What is 55667 in binary?
1101100101110011 (hexadecimal D973, octal 154563).
What is the square root of 55667?
About 235.9386.
Is 55667 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 55667?
55667 is the 5649th prime number.