The number 23021
23021 is the 2568th prime number. Its only divisors are 1 and 23021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23021: the 2568th prime number.
- 2
23021 is prime, so its only factors are 1 and 23021. It is the 2568th prime; the next prime is 23027 and the one before is 23017.
- 3
The divisors add up to 23022; without 23021 itself that is 1, so 23021 is deficient (1 is less than 23021). Euler's totient φ(23021) = 23020 numbers up to 23021 share no factor with it.
- 4
The digits of 23021 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 56 steps to reach 1.
23021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23022 |
| Euler totient φ(n) | 23020 |
| Square | 529966441 |
| Cube | 12200357438261 |
| Square root | 151.726728 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.3021 × |
23021 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and twenty-one |
| Binary (base 2) | 101100111101101 |
| Octal (base 8) | 54755 |
| Hexadecimal (base 16) | 59ED |
| Base 3 | 1011120122 |
| As time | 23021 seconds = 6 h 23 min 41 s |
Is 23021 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 5) | 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 9) | 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 23021 a prime number?
Yes. 23021 is divisible only by 1 and itself.
What are the factors of 23021?
1, 23021.
What is 23021 in binary?
101100111101101 (hexadecimal 59ED, octal 54755).
What is the square root of 23021?
About 151.7267.
Is 23021 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 23021?
23021 is the 2568th prime number.