The number 26801
26801 is the 2940th prime number. Its only divisors are 1 and 26801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26801: the 2940th prime number.
- 2
26801 is prime, so its only factors are 1 and 26801. It is the 2940th prime; the next prime is 26813 and the one before is 26783.
- 3
The divisors add up to 26802; without 26801 itself that is 1, so 26801 is deficient (1 is less than 26801). Euler's totient φ(26801) = 26800 numbers up to 26801 share no factor with it.
- 4
The digits of 26801 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
26801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26802 |
| Euler totient φ(n) | 26800 |
| Square | 718293601 |
| Cube | 19250986800401 |
| Square root | 163.710110 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.6801 × |
26801 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and one |
| Binary (base 2) | 110100010110001 |
| Octal (base 8) | 64261 |
| Hexadecimal (base 16) | 68B1 |
| Base 3 | 1100202122 |
| As time | 26801 seconds = 7 h 26 min 41 s |
Is 26801 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 1) | 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 26801 a prime number?
Yes. 26801 is divisible only by 1 and itself.
What are the factors of 26801?
1, 26801.
What is 26801 in binary?
110100010110001 (hexadecimal 68B1, octal 64261).
What is the square root of 26801?
About 163.7101.
Is 26801 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 26801?
26801 is the 2940th prime number.