The number 25996
25996 is a composite number with 12 divisors. Its prime factorisation is × 67 × 97. Divisors (12): 1, 2, 4, 67, 97, 134, 194, 268, 388, 6499, 12998, 25996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25996 is composite. Its prime factorisation is
- 3
The divisors add up to 46648; without 25996 itself that is 20652, so 25996 is deficient (20652 is less than 25996). Euler's totient φ(25996) = 12672 numbers up to 25996 share no factor with it.
- 4
The digits of 25996 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25996 = 2^{2} \times 67 \times 97 \]25996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46648 |
| Euler totient φ(n) | 12672 |
| Square | 675792016 |
| Cube | 17567889247936 |
| Square root | 161.232751 (= 2√6499) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.5996 × |
25996 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand nine hundred and ninety-six |
| Binary (base 2) | 110010110001100 |
| Octal (base 8) | 62614 |
| Hexadecimal (base 16) | 658C |
| Base 3 | 1022122211 |
| As time | 25996 seconds = 7 h 13 min 16 s |
Is 25996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25996 ÷ 2 = 12998) | 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 (25996 ÷ 4 = 6499) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 3) | 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 25996 a prime number?
No. 25996 = × 67 × 97, so it is divisible by 2.
What are the factors of 25996?
1, 2, 4, 67, 97, 134, 194, 268, 388, 6499, 12998, 25996.
What is 25996 in binary?
110010110001100 (hexadecimal 658C, octal 62614).
What is the square root of 25996?
About 161.2328, exactly 2√6499.
Is 25996 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 25996?
It is a composite number with 12 divisors.