The number 26041
26041 is the 2865th prime number. Its only divisors are 1 and 26041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26041: the 2865th prime number.
- 2
26041 is prime, so its only factors are 1 and 26041. It is the 2865th prime; the next prime is 26053 and the one before is 26029.
- 3
The divisors add up to 26042; without 26041 itself that is 1, so 26041 is deficient (1 is less than 26041). Euler's totient φ(26041) = 26040 numbers up to 26041 share no factor with it.
- 4
The digits of 26041 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
26041 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26042 |
| Euler totient φ(n) | 26040 |
| Square | 678133681 |
| Cube | 17659279186921 |
| Square root | 161.372240 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6041 × |
26041 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and forty-one |
| Binary (base 2) | 110010110111001 |
| Octal (base 8) | 62671 |
| Hexadecimal (base 16) | 65B9 |
| Base 3 | 1022201111 |
| As time | 26041 seconds = 7 h 14 min 1 s |
Is 26041 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26041 a prime number?
Yes. 26041 is divisible only by 1 and itself.
What are the factors of 26041?
1, 26041.
What is 26041 in binary?
110010110111001 (hexadecimal 65B9, octal 62671).
What is the square root of 26041?
About 161.3722.
Is 26041 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 26041?
26041 is the 2865th prime number.