The number 25424
25424 is a composite number with 20 divisors. Its prime factorisation is × 7 × 227. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 227, 454, 908, 1589, 1816, 3178 … 25424.
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How to work it out
- 1
25424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25424 is composite. Its prime factorisation is
- 3
The divisors add up to 56544; without 25424 itself that is 31120, so 25424 is abundant (31120 is more than 25424). Euler's totient φ(25424) = 10848 numbers up to 25424 share no factor with it.
- 4
The digits of 25424 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25424 = 2^{4} \times 7 \times 227 \]25424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 56544 |
| Euler totient φ(n) | 10848 |
| Square | 646379776 |
| Cube | 16433559425024 |
| Square root | 159.449051 (= 4√1589) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.5424 × |
25424 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred and twenty-four |
| Binary (base 2) | 110001101010000 |
| Octal (base 8) | 61520 |
| Hexadecimal (base 16) | 6350 |
| Base 3 | 1021212122 |
| As time | 25424 seconds = 7 h 3 min 44 s |
Is 25424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25424 ÷ 2 = 12712) | 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 (25424 ÷ 4 = 6356) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25424 ÷ 7 = 3632) | 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 (25424 ÷ 8 = 3178) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 25424 a prime number?
No. 25424 = × 7 × 227, so it is divisible by 2.
What are the factors of 25424?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 227, 454, 908, 1589, 1816, 3178, 3632, 6356, 12712, 25424.
What is 25424 in binary?
110001101010000 (hexadecimal 6350, octal 61520).
What is the square root of 25424?
About 159.4491, exactly 4√1589.
Is 25424 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 25424?
It is a composite number with 20 divisors.