The number 26009
26009 is a composite number with 4 divisors. Its prime factorisation is 31 × 839. Divisors (4): 1, 31, 839, 26009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26009: a semiprime: 31 × 839, the product of two primes.
- 2
26009 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 26009 itself that is 871, so 26009 is deficient (871 is less than 26009). Euler's totient φ(26009) = 25140 numbers up to 26009 share no factor with it.
- 4
The digits of 26009 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26009 = 31 \times 839 \]
26009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 25140 |
| Square | 676468081 |
| Cube | 17594258318729 |
| Square root | 161.273060 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6009 × |
26009 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and nine |
| Binary (base 2) | 110010110011001 |
| Octal (base 8) | 62631 |
| Hexadecimal (base 16) | 6599 |
| Base 3 | 1022200022 |
| As time | 26009 seconds = 7 h 13 min 29 s |
Is 26009 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 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 26009 a prime number?
No. 26009 = 31 × 839, so it is divisible by 31.
What are the factors of 26009?
1, 31, 839, 26009.
What is 26009 in binary?
110010110011001 (hexadecimal 6599, octal 62631).
What is the square root of 26009?
About 161.2731.
Is 26009 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 26009?
26009 is a semiprime: 31 × 839, the product of two primes.