The number 25792
25792 is a composite number with 28 divisors. Its prime factorisation is × 13 × 31. Divisors (28): 1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 64, 104, 124, 208, 248 … 25792.
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How to work it out
- 1
25792 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25792 is composite. Its prime factorisation is
- 3
The divisors add up to 56896; without 25792 itself that is 31104, so 25792 is abundant (31104 is more than 25792). Euler's totient φ(25792) = 11520 numbers up to 25792 share no factor with it.
- 4
The digits of 25792 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25792 = 2^{6} \times 13 \times 31 \]25792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 56896 |
| Euler totient φ(n) | 11520 |
| Square | 665227264 |
| Cube | 17157541593088 |
| Square root | 160.598879 (= 8√403) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.5792 × |
25792 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand seven hundred and ninety-two |
| Binary (base 2) | 110010011000000 |
| Octal (base 8) | 62300 |
| Hexadecimal (base 16) | 64C0 |
| Base 3 | 1022101021 |
| As time | 25792 seconds = 7 h 9 min 52 s |
Is 25792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25792 ÷ 2 = 12896) | 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 (25792 ÷ 4 = 6448) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (25792 ÷ 8 = 3224) | 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 2) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25792 a prime number?
No. 25792 = × 13 × 31, so it is divisible by 2.
What are the factors of 25792?
1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 64, 104, 124, 208, 248, 403, 416, 496, 806, 832, 992, 1612, 1984, 3224, 6448, 12896, 25792.
What is 25792 in binary?
110010011000000 (hexadecimal 64C0, octal 62300).
What is the square root of 25792?
About 160.5989, exactly 8√403.
Is 25792 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 25792?
It is a composite number with 28 divisors.