The number 26513
26513 is the 2912th prime number. Its only divisors are 1 and 26513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26513: the 2912th prime number.
- 2
26513 is prime, so its only factors are 1 and 26513. It is the 2912th prime; the next prime is 26539 and the one before is 26501.
- 3
The divisors add up to 26514; without 26513 itself that is 1, so 26513 is deficient (1 is less than 26513). Euler's totient φ(26513) = 26512 numbers up to 26513 share no factor with it.
- 4
The digits of 26513 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 77 steps to reach 1.
26513 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26514 |
| Euler totient φ(n) | 26512 |
| Square | 702939169 |
| Cube | 18637026187697 |
| Square root | 162.828130 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6513 × |
26513 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand five hundred and thirteen |
| Binary (base 2) | 110011110010001 |
| Octal (base 8) | 63621 |
| Hexadecimal (base 16) | 6791 |
| Base 3 | 1100100222 |
| As time | 26513 seconds = 7 h 21 min 53 s |
Is 26513 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 3) | 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 4) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 26513 a prime number?
Yes. 26513 is divisible only by 1 and itself.
What are the factors of 26513?
1, 26513.
What is 26513 in binary?
110011110010001 (hexadecimal 6791, octal 63621).
What is the square root of 26513?
About 162.8281.
Is 26513 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 26513?
26513 is the 2912th prime number.