The number 25472
25472 is a composite number with 16 divisors. Its prime factorisation is × 199. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 199, 398, 796, 1592, 3184, 6368, 12736, 25472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25472 is composite. Its prime factorisation is
- 3
The divisors add up to 51000; without 25472 itself that is 25528, so 25472 is abundant (25528 is more than 25472). Euler's totient φ(25472) = 12672 numbers up to 25472 share no factor with it.
- 4
The digits of 25472 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25472 = 2^{7} \times 199 \]25472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51000 |
| Euler totient φ(n) | 12672 |
| Square | 648822784 |
| Cube | 16526813954048 |
| Square root | 159.599499 (= 8√398) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5472 × |
25472 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred and seventy-two |
| Binary (base 2) | 110001110000000 |
| Octal (base 8) | 61600 |
| Hexadecimal (base 16) | 6380 |
| Base 3 | 1021221102 |
| As time | 25472 seconds = 7 h 4 min 32 s |
Is 25472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25472 ÷ 2 = 12736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25472 ÷ 4 = 6368) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (25472 ÷ 8 = 3184) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25472 a prime number?
No. 25472 = × 199, so it is divisible by 2.
What are the factors of 25472?
1, 2, 4, 8, 16, 32, 64, 128, 199, 398, 796, 1592, 3184, 6368, 12736, 25472.
What is 25472 in binary?
110001110000000 (hexadecimal 6380, octal 61600).
What is the square root of 25472?
About 159.5995, exactly 8√398.
Is 25472 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 25472?
It is a composite number with 16 divisors.