The number 26006
26006 is a composite number with 4 divisors. Its prime factorisation is 2 × 13003. Divisors (4): 1, 2, 13003, 26006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26006: a semiprime: 2 × 13003, the product of two primes.
- 2
26006 is composite. Its prime factorisation is
- 3
The divisors add up to 39012; without 26006 itself that is 13006, so 26006 is deficient (13006 is less than 26006). Euler's totient φ(26006) = 13002 numbers up to 26006 share no factor with it.
- 4
The digits of 26006 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26006 = 2 \times 13003 \]
26006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39012 |
| Euler totient φ(n) | 13002 |
| Square | 676312036 |
| Cube | 17588170808216 |
| Square root | 161.263759 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6006 × |
26006 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and six |
| Binary (base 2) | 110010110010110 |
| Octal (base 8) | 62626 |
| Hexadecimal (base 16) | 6596 |
| Base 3 | 1022200012 |
| As time | 26006 seconds = 7 h 13 min 26 s |
Is 26006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26006 ÷ 2 = 13003) | 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 2) | 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 2) | 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 6) | 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 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26006 a prime number?
No. 26006 = 2 × 13003, so it is divisible by 2.
What are the factors of 26006?
1, 2, 13003, 26006.
What is 26006 in binary?
110010110010110 (hexadecimal 6596, octal 62626).
What is the square root of 26006?
About 161.2638.
Is 26006 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 26006?
26006 is a semiprime: 2 × 13003, the product of two primes.