The number 26496
26496 is a composite number with 48 divisors. Its prime factorisation is × × 23. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48 … 26496.
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How to work it out
- 1
26496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26496 is composite. Its prime factorisation is
- 3
The divisors add up to 79560; without 26496 itself that is 53064, so 26496 is abundant (53064 is more than 26496). Euler's totient φ(26496) = 8448 numbers up to 26496 share no factor with it.
- 4
The digits of 26496 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26496 = 2^{7} \times 3^{2} \times 23 \]26496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 79560 |
| Euler totient φ(n) | 8448 |
| Square | 702038016 |
| Cube | 18601199271936 |
| Square root | 162.775920 (= 24√46) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.6496 × |
26496 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and ninety-six |
| Binary (base 2) | 110011110000000 |
| Octal (base 8) | 63600 |
| Hexadecimal (base 16) | 6780 |
| Base 3 | 1100100100 |
| As time | 26496 seconds = 7 h 21 min 36 s |
Is 26496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26496 ÷ 2 = 13248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26496 ÷ 3 = 8832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26496 ÷ 4 = 6624) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26496 ÷ 6 = 4416) | 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 (26496 ÷ 8 = 3312) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26496 ÷ 9 = 2944) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26496 ÷ 12 = 2208) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26496 a prime number?
No. 26496 = × × 23, so it is divisible by 2.
What are the factors of 26496?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 128, 138, 144, 184, 192, 207, 276, 288, 368, 384, 414, 552, 576, 736, 828, 1104, 1152, 1472, 1656, 2208, 2944, 3312, 4416, 6624, 8832, 13248, 26496.
What is 26496 in binary?
110011110000000 (hexadecimal 6780, octal 63600).
What is the square root of 26496?
About 162.7759, exactly 24√46.
Is 26496 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26496?
It is a composite number with 48 divisors.