The number 52121
52121 is the 5329th prime number. Its only divisors are 1 and 52121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52121: the 5329th prime number.
- 2
52121 is prime, so its only factors are 1 and 52121. It is the 5329th prime; the next prime is 52127 and the one before is 52103.
- 3
The divisors add up to 52122; without 52121 itself that is 1, so 52121 is deficient (1 is less than 52121). Euler's totient φ(52121) = 52120 numbers up to 52121 share no factor with it.
- 4
The digits of 52121 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 109 steps to reach 1.
52121 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52122 |
| Euler totient φ(n) | 52120 |
| Square | 2716598641 |
| Cube | 141591837767561 |
| Square root | 228.300241 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.2121 × |
52121 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and twenty-one |
| Binary (base 2) | 1100101110011001 |
| Octal (base 8) | 145631 |
| Hexadecimal (base 16) | CB99 |
| Base 3 | 2122111102 |
| As time | 52121 seconds = 14 h 28 min 41 s |
Is 52121 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 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 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 3) | 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 52121 a prime number?
Yes. 52121 is divisible only by 1 and itself.
What are the factors of 52121?
1, 52121.
What is 52121 in binary?
1100101110011001 (hexadecimal CB99, octal 145631).
What is the square root of 52121?
About 228.3002.
Is 52121 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 52121?
52121 is the 5329th prime number.