The number 26464
26464 is a composite number with 12 divisors. Its prime factorisation is × 827. Divisors (12): 1, 2, 4, 8, 16, 32, 827, 1654, 3308, 6616, 13232, 26464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26464 is composite. Its prime factorisation is
- 3
The divisors add up to 52164; without 26464 itself that is 25700, so 26464 is deficient (25700 is less than 26464). Euler's totient φ(26464) = 13216 numbers up to 26464 share no factor with it.
- 4
The digits of 26464 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26464 = 2^{5} \times 827 \]26464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 52164 |
| Euler totient φ(n) | 13216 |
| Square | 700343296 |
| Cube | 18533884985344 |
| Square root | 162.677595 (= 4√1654) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6464 × |
26464 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and sixty-four |
| Binary (base 2) | 110011101100000 |
| Octal (base 8) | 63540 |
| Hexadecimal (base 16) | 6760 |
| Base 3 | 1100022011 |
| As time | 26464 seconds = 7 h 21 min 4 s |
Is 26464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26464 ÷ 2 = 13232) | 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 (26464 ÷ 4 = 6616) | 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 | No (remainder 4) | 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 (26464 ÷ 8 = 3308) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | 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 26464 a prime number?
No. 26464 = × 827, so it is divisible by 2.
What are the factors of 26464?
1, 2, 4, 8, 16, 32, 827, 1654, 3308, 6616, 13232, 26464.
What is 26464 in binary?
110011101100000 (hexadecimal 6760, octal 63540).
What is the square root of 26464?
About 162.6776, exactly 4√1654.
Is 26464 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 26464?
It is a composite number with 12 divisors.