The number 26000
26000 is a composite number with 40 divisors. Its prime factorisation is × × 13. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80 … 26000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26000: a Harshad number: divisible by its digit sum 8.
- 2
26000 is composite. Its prime factorisation is
- 3
The divisors add up to 67704; without 26000 itself that is 41704, so 26000 is abundant (41704 is more than 26000). Euler's totient φ(26000) = 9600 numbers up to 26000 share no factor with it.
- 4
The digits of 26000 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26000 = 2^{4} \times 5^{3} \times 13 \]26000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 67704 |
| Euler totient φ(n) | 9600 |
| Square | 676000000 |
| Cube | 17576000000000 |
| Square root | 161.245155 (= 20√65) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6 × |
26000 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand |
| Binary (base 2) | 110010110010000 |
| Octal (base 8) | 62620 |
| Hexadecimal (base 16) | 6590 |
| Base 3 | 1022122222 |
| As time | 26000 seconds = 7 h 13 min 20 s |
Is 26000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26000 ÷ 2 = 13000) | 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 | Yes (26000 ÷ 4 = 6500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26000 ÷ 5 = 5200) | 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 2) | 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 | Yes (26000 ÷ 8 = 3250) | 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 | Yes (26000 ÷ 10 = 2600) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26000 a prime number?
No. 26000 = × × 13, so it is divisible by 2.
What are the factors of 26000?
1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 125, 130, 200, 208, 250, 260, 325, 400, 500, 520, 650, 1000, 1040, 1300, 1625, 2000, 2600, 3250, 5200, 6500, 13000, 26000.
What is 26000 in binary?
110010110010000 (hexadecimal 6590, octal 62620).
What is the square root of 26000?
About 161.2452, exactly 20√65.
Is 26000 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 26000?
26000 is a Harshad number: divisible by its digit sum 8.