The number 26080
26080 is a composite number with 24 divisors. Its prime factorisation is × 5 × 163. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 163, 326, 652, 815 … 26080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26080: a Harshad number: divisible by its digit sum 16.
- 2
26080 is composite. Its prime factorisation is
- 3
The divisors add up to 61992; without 26080 itself that is 35912, so 26080 is abundant (35912 is more than 26080). Euler's totient φ(26080) = 10368 numbers up to 26080 share no factor with it.
- 4
The digits of 26080 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26080 = 2^{5} \times 5 \times 163 \]26080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61992 |
| Euler totient φ(n) | 10368 |
| Square | 680166400 |
| Cube | 17738739712000 |
| Square root | 161.493034 (= 4√1630) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.608 × |
26080 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and eighty |
| Binary (base 2) | 110010111100000 |
| Octal (base 8) | 62740 |
| Hexadecimal (base 16) | 65E0 |
| Base 3 | 1022202221 |
| As time | 26080 seconds = 7 h 14 min 40 s |
Is 26080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26080 ÷ 2 = 13040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26080 ÷ 4 = 6520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26080 ÷ 5 = 5216) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (26080 ÷ 8 = 3260) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26080 ÷ 10 = 2608) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26080 a prime number?
No. 26080 = × 5 × 163, so it is divisible by 2.
What are the factors of 26080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 163, 326, 652, 815, 1304, 1630, 2608, 3260, 5216, 6520, 13040, 26080.
What is 26080 in binary?
110010111100000 (hexadecimal 65E0, octal 62740).
What is the square root of 26080?
About 161.4930, exactly 4√1630.
Is 26080 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 26080?
26080 is a Harshad number: divisible by its digit sum 16.