The number 55213
55213 is the 5609th prime number. Its only divisors are 1 and 55213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55213: the 5609th prime number.
- 2
55213 is prime, so its only factors are 1 and 55213. It is the 5609th prime; the next prime is 55217 and the one before is 55207.
- 3
The divisors add up to 55214; without 55213 itself that is 1, so 55213 is deficient (1 is less than 55213). Euler's totient φ(55213) = 55212 numbers up to 55213 share no factor with it.
- 4
The digits of 55213 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
55213 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55214 |
| Euler totient φ(n) | 55212 |
| Square | 3048475369 |
| Cube | 168315470548597 |
| Square root | 234.974467 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5213 × |
55213 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and thirteen |
| Binary (base 2) | 1101011110101101 |
| Octal (base 8) | 153655 |
| Hexadecimal (base 16) | D7AD |
| Base 3 | 2210201221 |
| As time | 55213 seconds = 15 h 20 min 13 s |
Is 55213 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55213 a prime number?
Yes. 55213 is divisible only by 1 and itself.
What are the factors of 55213?
1, 55213.
What is 55213 in binary?
1101011110101101 (hexadecimal D7AD, octal 153655).
What is the square root of 55213?
About 234.9745.
Is 55213 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55213?
55213 is the 5609th prime number.