The number 55343
55343 is the 5622nd prime number. Its only divisors are 1 and 55343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55343: the 5622nd prime number.
- 2
55343 is prime, so its only factors are 1 and 55343. It is the 5622nd prime; the next prime is 55351 and the one before is 55339.
- 3
The divisors add up to 55344; without 55343 itself that is 1, so 55343 is deficient (1 is less than 55343). Euler's totient φ(55343) = 55342 numbers up to 55343 share no factor with it.
- 4
The digits of 55343 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 91 steps to reach 1.
55343 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55344 |
| Euler totient φ(n) | 55342 |
| Square | 3062847649 |
| Cube | 169507177438607 |
| Square root | 235.250930 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5343 × |
55343 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and forty-three |
| Binary (base 2) | 1101100000101111 |
| Octal (base 8) | 154057 |
| Hexadecimal (base 16) | D82F |
| Base 3 | 2210220202 |
| As time | 55343 seconds = 15 h 22 min 23 s |
Is 55343 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 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 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 7) | 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 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55343 a prime number?
Yes. 55343 is divisible only by 1 and itself.
What are the factors of 55343?
1, 55343.
What is 55343 in binary?
1101100000101111 (hexadecimal D82F, octal 154057).
What is the square root of 55343?
About 235.2509.
Is 55343 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55343?
55343 is the 5622nd prime number.