The number 26048
26048 is a composite number with 28 divisors. Its prime factorisation is × 11 × 37. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 64, 74, 88, 148, 176, 296 … 26048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26048 is composite. Its prime factorisation is
- 3
The divisors add up to 57912; without 26048 itself that is 31864, so 26048 is abundant (31864 is more than 26048). Euler's totient φ(26048) = 11520 numbers up to 26048 share no factor with it.
- 4
The digits of 26048 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26048 = 2^{6} \times 11 \times 37 \]26048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 57912 |
| Euler totient φ(n) | 11520 |
| Square | 678498304 |
| Cube | 17673523822592 |
| Square root | 161.393928 (= 8√407) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6048 × |
26048 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and forty-eight |
| Binary (base 2) | 110010111000000 |
| Octal (base 8) | 62700 |
| Hexadecimal (base 16) | 65C0 |
| Base 3 | 1022201202 |
| As time | 26048 seconds = 7 h 14 min 8 s |
Is 26048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26048 ÷ 2 = 13024) | 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 (26048 ÷ 4 = 6512) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 (26048 ÷ 8 = 3256) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26048 ÷ 11 = 2368) | 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 26048 a prime number?
No. 26048 = × 11 × 37, so it is divisible by 2.
What are the factors of 26048?
1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 64, 74, 88, 148, 176, 296, 352, 407, 592, 704, 814, 1184, 1628, 2368, 3256, 6512, 13024, 26048.
What is 26048 in binary?
110010111000000 (hexadecimal 65C0, octal 62700).
What is the square root of 26048?
About 161.3939, exactly 8√407.
Is 26048 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26048?
It is a composite number with 28 divisors.