The number 55001
55001 is the 5591st prime number. Its only divisors are 1 and 55001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55001: the 5591st prime number.
- 2
55001 is prime, so its only factors are 1 and 55001. It is the 5591st prime; the next prime is 55009 and the one before is 54983.
- 3
The divisors add up to 55002; without 55001 itself that is 1, so 55001 is deficient (1 is less than 55001). Euler's totient φ(55001) = 55000 numbers up to 55001 share no factor with it.
- 4
The digits of 55001 add up to 11, 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.
55001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55002 |
| Euler totient φ(n) | 55000 |
| Square | 3025110001 |
| Cube | 166384075165001 |
| Square root | 234.522920 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5001 × |
55001 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and one |
| Binary (base 2) | 1101011011011001 |
| Octal (base 8) | 153331 |
| Hexadecimal (base 16) | D6D9 |
| Base 3 | 2210110002 |
| As time | 55001 seconds = 15 h 16 min 41 s |
Is 55001 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 1) | 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 2) | 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 2) | 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 1) | 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 55001 a prime number?
Yes. 55001 is divisible only by 1 and itself.
What are the factors of 55001?
1, 55001.
What is 55001 in binary?
1101011011011001 (hexadecimal D6D9, octal 153331).
What is the square root of 55001?
About 234.5229.
Is 55001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 55001?
55001 is the 5591st prime number.