The number 26001
26001 is a composite number with 12 divisors. Its prime factorisation is × 107. Divisors (12): 1, 3, 9, 27, 81, 107, 243, 321, 963, 2889, 8667, 26001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26001: a Harshad number: divisible by its digit sum 9.
- 2
26001 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 26001 itself that is 13311, so 26001 is deficient (13311 is less than 26001). Euler's totient φ(26001) = 17172 numbers up to 26001 share no factor with it.
- 4
The digits of 26001 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26001 = 3^{5} \times 107 \]26001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 17172 |
| Square | 676052001 |
| Cube | 17578028078001 |
| Square root | 161.248256 (= 9√321) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6001 × |
26001 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and one |
| Binary (base 2) | 110010110010001 |
| Octal (base 8) | 62621 |
| Hexadecimal (base 16) | 6591 |
| Base 3 | 1022200000 |
| As time | 26001 seconds = 7 h 13 min 21 s |
Is 26001 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 | Yes (26001 ÷ 3 = 8667) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (26001 ÷ 9 = 2889) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26001 a prime number?
No. 26001 = × 107, so it is divisible by 3.
What are the factors of 26001?
1, 3, 9, 27, 81, 107, 243, 321, 963, 2889, 8667, 26001.
What is 26001 in binary?
110010110010001 (hexadecimal 6591, octal 62621).
What is the square root of 26001?
About 161.2483, exactly 9√321.
Is 26001 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 26001?
26001 is a Harshad number: divisible by its digit sum 9.