The number 26960
26960 is a composite number with 20 divisors. Its prime factorisation is × 5 × 337. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 337, 674, 1348, 1685, 2696, 3370 … 26960.
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How to work it out
- 1
26960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26960 is composite. Its prime factorisation is
- 3
The divisors add up to 62868; without 26960 itself that is 35908, so 26960 is abundant (35908 is more than 26960). Euler's totient φ(26960) = 10752 numbers up to 26960 share no factor with it.
- 4
The digits of 26960 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26960 = 2^{4} \times 5 \times 337 \]26960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 62868 |
| Euler totient φ(n) | 10752 |
| Square | 726841600 |
| Cube | 19595649536000 |
| Square root | 164.195006 (= 4√1685) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.696 × |
26960 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and sixty |
| Binary (base 2) | 110100101010000 |
| Octal (base 8) | 64520 |
| Hexadecimal (base 16) | 6950 |
| Base 3 | 1100222112 |
| As time | 26960 seconds = 7 h 29 min 20 s |
Is 26960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26960 ÷ 2 = 13480) | 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 (26960 ÷ 4 = 6740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26960 ÷ 5 = 5392) | 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 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 | Yes (26960 ÷ 8 = 3370) | 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 | Yes (26960 ÷ 10 = 2696) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26960 a prime number?
No. 26960 = × 5 × 337, so it is divisible by 2.
What are the factors of 26960?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 337, 674, 1348, 1685, 2696, 3370, 5392, 6740, 13480, 26960.
What is 26960 in binary?
110100101010000 (hexadecimal 6950, octal 64520).
What is the square root of 26960?
About 164.1950, exactly 4√1685.
Is 26960 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 26960?
It is a composite number with 20 divisors.