The number 26021
26021 is the 2863rd prime number. Its only divisors are 1 and 26021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26021: the 2863rd prime number.
- 2
26021 is prime, so its only factors are 1 and 26021. It is the 2863rd prime; the next prime is 26029 and the one before is 26017.
- 3
The divisors add up to 26022; without 26021 itself that is 1, so 26021 is deficient (1 is less than 26021). Euler's totient φ(26021) = 26020 numbers up to 26021 share no factor with it.
- 4
The digits of 26021 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 139 steps to reach 1.
26021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26022 |
| Euler totient φ(n) | 26020 |
| Square | 677092441 |
| Cube | 17618622407261 |
| Square root | 161.310260 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6021 × |
26021 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and twenty-one |
| Binary (base 2) | 110010110100101 |
| Octal (base 8) | 62645 |
| Hexadecimal (base 16) | 65A5 |
| Base 3 | 1022200202 |
| As time | 26021 seconds = 7 h 13 min 41 s |
Is 26021 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 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 6) | 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 26021 a prime number?
Yes. 26021 is divisible only by 1 and itself.
What are the factors of 26021?
1, 26021.
What is 26021 in binary?
110010110100101 (hexadecimal 65A5, octal 62645).
What is the square root of 26021?
About 161.3103.
Is 26021 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 26021?
26021 is the 2863rd prime number.