The number 55673
55673 is the 5650th prime number. Its only divisors are 1 and 55673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55673: the 5650th prime number.
- 2
55673 is prime, so its only factors are 1 and 55673. It is the 5650th prime; the next prime is 55681 and the one before is 55667.
- 3
The divisors add up to 55674; without 55673 itself that is 1, so 55673 is deficient (1 is less than 55673). Euler's totient φ(55673) = 55672 numbers up to 55673 share no factor with it.
- 4
The digits of 55673 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
55673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55674 |
| Euler totient φ(n) | 55672 |
| Square | 3099482929 |
| Cube | 172557513106217 |
| Square root | 235.951266 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.5673 × |
55673 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and seventy-three |
| Binary (base 2) | 1101100101111001 |
| Octal (base 8) | 154571 |
| Hexadecimal (base 16) | D979 |
| Base 3 | 2211100222 |
| As time | 55673 seconds = 15 h 27 min 53 s |
Is 55673 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 3) | 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 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 55673 a prime number?
Yes. 55673 is divisible only by 1 and itself.
What are the factors of 55673?
1, 55673.
What is 55673 in binary?
1101100101111001 (hexadecimal D979, octal 154571).
What is the square root of 55673?
About 235.9513.
Is 55673 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55673?
55673 is the 5650th prime number.