The number 5021
5021 is a twin prime (5021 and 5023 are both prime) and the 673rd prime number. Its only divisors are 1 and 5021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5021: a twin prime (5021 and 5023 are both prime); the 673rd prime number.
- 2
5021 is prime, so its only factors are 1 and 5021. It is the 673rd prime; the next prime is 5023 and the one before is 5011.
- 3
The divisors add up to 5022; without 5021 itself that is 1, so 5021 is deficient (1 is less than 5021). Euler's totient φ(5021) = 5020 numbers up to 5021 share no factor with it.
- 4
The digits of 5021 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
5021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5022 |
| Euler totient φ(n) | 5020 |
| Square | 25210441 |
| Cube | 126581624261 |
| Square root | 70.859015 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 90 |
| Scientific notation | 5.021 × |
5021 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twenty-one |
| Binary (base 2) | 1001110011101 |
| Octal (base 8) | 11635 |
| Hexadecimal (base 16) | 139D |
| Base 3 | 20212222 |
| As time | 5021 seconds = 1 h 23 min 41 s |
Is 5021 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 5021 a prime number?
Yes. 5021 is divisible only by 1 and itself.
What are the factors of 5021?
1, 5021.
What is 5021 in binary?
1001110011101 (hexadecimal 139D, octal 11635).
What is the square root of 5021?
About 70.8590.
Is 5021 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 5021?
5021 is a twin prime (5021 and 5023 are both prime); the 673rd prime number.