The number 26501
26501 is the 2911th prime number. Its only divisors are 1 and 26501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26501: the 2911th prime number.
- 2
26501 is prime, so its only factors are 1 and 26501. It is the 2911th prime; the next prime is 26513 and the one before is 26497.
- 3
The divisors add up to 26502; without 26501 itself that is 1, so 26501 is deficient (1 is less than 26501). Euler's totient φ(26501) = 26500 numbers up to 26501 share no factor with it.
- 4
The digits of 26501 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
26501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26502 |
| Euler totient φ(n) | 26500 |
| Square | 702303001 |
| Cube | 18611731829501 |
| Square root | 162.791277 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6501 × |
26501 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand five hundred and one |
| Binary (base 2) | 110011110000101 |
| Octal (base 8) | 63605 |
| Hexadecimal (base 16) | 6785 |
| Base 3 | 1100100112 |
| As time | 26501 seconds = 7 h 21 min 41 s |
Is 26501 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 6) | 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 5) | 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 2) | 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 26501 a prime number?
Yes. 26501 is divisible only by 1 and itself.
What are the factors of 26501?
1, 26501.
What is 26501 in binary?
110011110000101 (hexadecimal 6785, octal 63605).
What is the square root of 26501?
About 162.7913.
Is 26501 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 26501?
26501 is the 2911th prime number.