The number 55021
55021 is the 5593rd prime number. Its only divisors are 1 and 55021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55021: the 5593rd prime number.
- 2
55021 is prime, so its only factors are 1 and 55021. It is the 5593rd prime; the next prime is 55049 and the one before is 55009.
- 3
The divisors add up to 55022; without 55021 itself that is 1, so 55021 is deficient (1 is less than 55021). Euler's totient φ(55021) = 55020 numbers up to 55021 share no factor with it.
- 4
The digits of 55021 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 184 steps to reach 1.
55021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55022 |
| Euler totient φ(n) | 55020 |
| Square | 3027310441 |
| Cube | 166565647774261 |
| Square root | 234.565556 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5021 × |
55021 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and twenty-one |
| Binary (base 2) | 1101011011101101 |
| Octal (base 8) | 153355 |
| Hexadecimal (base 16) | D6ED |
| Base 3 | 2210110211 |
| As time | 55021 seconds = 15 h 17 min 1 s |
Is 55021 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 1) | 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 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 10) | 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 55021 a prime number?
Yes. 55021 is divisible only by 1 and itself.
What are the factors of 55021?
1, 55021.
What is 55021 in binary?
1101011011101101 (hexadecimal D6ED, octal 153355).
What is the square root of 55021?
About 234.5656.
Is 55021 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 55021?
55021 is the 5593rd prime number.