The number 52021
52021 is the 5321st prime number. Its only divisors are 1 and 52021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52021: the 5321st prime number.
- 2
52021 is prime, so its only factors are 1 and 52021. It is the 5321st prime; the next prime is 52027 and the one before is 52009.
- 3
The divisors add up to 52022; without 52021 itself that is 1, so 52021 is deficient (1 is less than 52021). Euler's totient φ(52021) = 52020 numbers up to 52021 share no factor with it.
- 4
The digits of 52021 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
52021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52022 |
| Euler totient φ(n) | 52020 |
| Square | 2706184441 |
| Cube | 140778420805261 |
| Square root | 228.081126 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2021 × |
52021 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and twenty-one |
| Binary (base 2) | 1100101100110101 |
| Octal (base 8) | 145465 |
| Hexadecimal (base 16) | CB35 |
| Base 3 | 2122100201 |
| As time | 52021 seconds = 14 h 27 min 1 s |
Is 52021 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 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 1) | 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 2) | 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 52021 a prime number?
Yes. 52021 is divisible only by 1 and itself.
What are the factors of 52021?
1, 52021.
What is 52021 in binary?
1100101100110101 (hexadecimal CB35, octal 145465).
What is the square root of 52021?
About 228.0811.
Is 52021 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 52021?
52021 is the 5321st prime number.