The number 55243
55243 is the 5613th prime number. Its only divisors are 1 and 55243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55243: the 5613th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55243 is prime, so its only factors are 1 and 55243. It is the 5613th prime; the next prime is 55249 and the one before is 55229.
- 3
The divisors add up to 55244; without 55243 itself that is 1, so 55243 is deficient (1 is less than 55243). Euler's totient φ(55243) = 55242 numbers up to 55243 share no factor with it.
- 4
The digits of 55243 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
55243 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55244 |
| Euler totient φ(n) | 55242 |
| Square | 3051789049 |
| Cube | 168589982433907 |
| Square root | 235.038295 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5243 × |
55243 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and forty-three |
| Binary (base 2) | 1101011111001011 |
| Octal (base 8) | 153713 |
| Hexadecimal (base 16) | D7CB |
| Base 3 | 2210210001 |
| As time | 55243 seconds = 15 h 20 min 43 s |
Is 55243 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55243 a prime number?
Yes. 55243 is divisible only by 1 and itself.
What are the factors of 55243?
1, 55243.
What is 55243 in binary?
1101011111001011 (hexadecimal D7CB, octal 153713).
What is the square root of 55243?
About 235.0383.
Is 55243 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55243?
55243 is the 5613th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.