The number 26404
26404 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 41. Divisors (24): 1, 2, 4, 7, 14, 23, 28, 41, 46, 82, 92, 161, 164, 287, 322, 574 … 26404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26404 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 26404 itself that is 30044, so 26404 is abundant (30044 is more than 26404). Euler's totient φ(26404) = 10560 numbers up to 26404 share no factor with it.
- 4
The digits of 26404 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26404 = 2^{2} \times 7 \times 23 \times 41 \]26404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 10560 |
| Square | 697171216 |
| Cube | 18408108787264 |
| Square root | 162.493077 (= 2√6601) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6404 × |
26404 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and four |
| Binary (base 2) | 110011100100100 |
| Octal (base 8) | 63444 |
| Hexadecimal (base 16) | 6724 |
| Base 3 | 1100012221 |
| As time | 26404 seconds = 7 h 20 min 4 s |
Is 26404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26404 ÷ 2 = 13202) | 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 (26404 ÷ 4 = 6601) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (26404 ÷ 7 = 3772) | 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 4) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 26404 a prime number?
No. 26404 = × 7 × 23 × 41, so it is divisible by 2.
What are the factors of 26404?
1, 2, 4, 7, 14, 23, 28, 41, 46, 82, 92, 161, 164, 287, 322, 574, 644, 943, 1148, 1886, 3772, 6601, 13202, 26404.
What is 26404 in binary?
110011100100100 (hexadecimal 6724, octal 63444).
What is the square root of 26404?
About 162.4931, exactly 2√6601.
Is 26404 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 26404?
It is a composite number with 24 divisors.