The number 25744
25744 is a composite number with 10 divisors. Its prime factorisation is × 1609. Divisors (10): 1, 2, 4, 8, 16, 1609, 3218, 6436, 12872, 25744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25744 is composite. Its prime factorisation is
- 3
The divisors add up to 49910; without 25744 itself that is 24166, so 25744 is deficient (24166 is less than 25744). Euler's totient φ(25744) = 12864 numbers up to 25744 share no factor with it.
- 4
The digits of 25744 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25744 = 2^{4} \times 1609 \]25744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 49910 |
| Euler totient φ(n) | 12864 |
| Square | 662753536 |
| Cube | 17061927030784 |
| Square root | 160.449369 (= 4√1609) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.5744 × |
25744 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand seven hundred and forty-four |
| Binary (base 2) | 110010010010000 |
| Octal (base 8) | 62220 |
| Hexadecimal (base 16) | 6490 |
| Base 3 | 1022022111 |
| As time | 25744 seconds = 7 h 9 min 4 s |
Is 25744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25744 ÷ 2 = 12872) | 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 (25744 ÷ 4 = 6436) | 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 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 | Yes (25744 ÷ 8 = 3218) | 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 4) | 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 25744 a prime number?
No. 25744 = × 1609, so it is divisible by 2.
What are the factors of 25744?
1, 2, 4, 8, 16, 1609, 3218, 6436, 12872, 25744.
What is 25744 in binary?
110010010010000 (hexadecimal 6490, octal 62220).
What is the square root of 25744?
About 160.4494, exactly 4√1609.
Is 25744 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 25744?
It is a composite number with 10 divisors.