The number 55313
55313 is the 5617th prime number. Its only divisors are 1 and 55313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55313: the 5617th prime number.
- 2
55313 is prime, so its only factors are 1 and 55313. It is the 5617th prime; the next prime is 55331 and the one before is 55291.
- 3
The divisors add up to 55314; without 55313 itself that is 1, so 55313 is deficient (1 is less than 55313). Euler's totient φ(55313) = 55312 numbers up to 55313 share no factor with it.
- 4
The digits of 55313 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
55313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55314 |
| Euler totient φ(n) | 55312 |
| Square | 3059527969 |
| Cube | 169231670549297 |
| Square root | 235.187160 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5313 × |
55313 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and thirteen |
| Binary (base 2) | 1101100000010001 |
| Octal (base 8) | 154021 |
| Hexadecimal (base 16) | D811 |
| Base 3 | 2210212122 |
| As time | 55313 seconds = 15 h 21 min 53 s |
Is 55313 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 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 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 5) | 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 55313 a prime number?
Yes. 55313 is divisible only by 1 and itself.
What are the factors of 55313?
1, 55313.
What is 55313 in binary?
1101100000010001 (hexadecimal D811, octal 154021).
What is the square root of 55313?
About 235.1872.
Is 55313 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55313?
55313 is the 5617th prime number.