The number 55201
55201 is the 5607th prime number. Its only divisors are 1 and 55201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55201: the 5607th prime number.
- 2
55201 is prime, so its only factors are 1 and 55201. It is the 5607th prime; the next prime is 55207 and the one before is 55171.
- 3
The divisors add up to 55202; without 55201 itself that is 1, so 55201 is deficient (1 is less than 55201). Euler's totient φ(55201) = 55200 numbers up to 55201 share no factor with it.
- 4
The digits of 55201 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
55201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55202 |
| Euler totient φ(n) | 55200 |
| Square | 3047150401 |
| Cube | 168205749285601 |
| Square root | 234.948931 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5201 × |
55201 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and one |
| Binary (base 2) | 1101011110100001 |
| Octal (base 8) | 153641 |
| Hexadecimal (base 16) | D7A1 |
| Base 3 | 2210201111 |
| As time | 55201 seconds = 15 h 20 min 1 s |
Is 55201 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 55201 a prime number?
Yes. 55201 is divisible only by 1 and itself.
What are the factors of 55201?
1, 55201.
What is 55201 in binary?
1101011110100001 (hexadecimal D7A1, octal 153641).
What is the square root of 55201?
About 234.9489.
Is 55201 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 55201?
55201 is the 5607th prime number.