The number 25824
25824 is a composite number with 24 divisors. Its prime factorisation is × 3 × 269. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 269, 538, 807, 1076 … 25824.
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How to work it out
- 1
25824 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25824 is composite. Its prime factorisation is
- 3
The divisors add up to 68040; without 25824 itself that is 42216, so 25824 is abundant (42216 is more than 25824). Euler's totient φ(25824) = 8576 numbers up to 25824 share no factor with it.
- 4
The digits of 25824 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25824 = 2^{5} \times 3 \times 269 \]25824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68040 |
| Euler totient φ(n) | 8576 |
| Square | 666878976 |
| Cube | 17221482676224 |
| Square root | 160.698475 (= 4√1614) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.5824 × |
25824 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand eight hundred and twenty-four |
| Binary (base 2) | 110010011100000 |
| Octal (base 8) | 62340 |
| Hexadecimal (base 16) | 64E0 |
| Base 3 | 1022102110 |
| As time | 25824 seconds = 7 h 10 min 24 s |
Is 25824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25824 ÷ 2 = 12912) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25824 ÷ 3 = 8608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25824 ÷ 4 = 6456) | 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 | Yes (25824 ÷ 6 = 4304) | 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 (25824 ÷ 8 = 3228) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25824 ÷ 12 = 2152) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25824 a prime number?
No. 25824 = × 3 × 269, so it is divisible by 2.
What are the factors of 25824?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 269, 538, 807, 1076, 1614, 2152, 3228, 4304, 6456, 8608, 12912, 25824.
What is 25824 in binary?
110010011100000 (hexadecimal 64E0, octal 62340).
What is the square root of 25824?
About 160.6985, exactly 4√1614.
Is 25824 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 25824?
It is a composite number with 24 divisors.