The number 26507
26507 is a composite number with 4 divisors. Its prime factorisation is 13 × 2039. Divisors (4): 1, 13, 2039, 26507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26507: a semiprime: 13 × 2039, the product of two primes.
- 2
26507 is composite. Its prime factorisation is
- 3
The divisors add up to 28560; without 26507 itself that is 2053, so 26507 is deficient (2053 is less than 26507). Euler's totient φ(26507) = 24456 numbers up to 26507 share no factor with it.
- 4
The digits of 26507 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26507 = 13 \times 2039 \]
26507 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28560 |
| Euler totient φ(n) | 24456 |
| Square | 702621049 |
| Cube | 18624376145843 |
| Square root | 162.809705 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6507 × |
26507 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand five hundred and seven |
| Binary (base 2) | 110011110001011 |
| Octal (base 8) | 63613 |
| Hexadecimal (base 16) | 678B |
| Base 3 | 1100100202 |
| As time | 26507 seconds = 7 h 21 min 47 s |
Is 26507 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26507 a prime number?
No. 26507 = 13 × 2039, so it is divisible by 13.
What are the factors of 26507?
1, 13, 2039, 26507.
What is 26507 in binary?
110011110001011 (hexadecimal 678B, octal 63613).
What is the square root of 26507?
About 162.8097.
Is 26507 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26507?
26507 is a semiprime: 13 × 2039, the product of two primes.