The number 25842
25842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 59 × 73. Divisors (16): 1, 2, 3, 6, 59, 73, 118, 146, 177, 219, 354, 438, 4307, 8614, 12921, 25842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25842 is composite. Its prime factorisation is
- 3
The divisors add up to 53280; without 25842 itself that is 27438, so 25842 is abundant (27438 is more than 25842). Euler's totient φ(25842) = 8352 numbers up to 25842 share no factor with it.
- 4
The digits of 25842 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25842 = 2 \times 3 \times 59 \times 73 \]
25842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 53280 |
| Euler totient φ(n) | 8352 |
| Square | 667808964 |
| Cube | 17257519247688 |
| Square root | 160.754471 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.5842 × |
25842 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand eight hundred and forty-two |
| Binary (base 2) | 110010011110010 |
| Octal (base 8) | 62362 |
| Hexadecimal (base 16) | 64F2 |
| Base 3 | 1022110010 |
| As time | 25842 seconds = 7 h 10 min 42 s |
Is 25842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25842 ÷ 2 = 12921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25842 ÷ 3 = 8614) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (25842 ÷ 6 = 4307) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25842 a prime number?
No. 25842 = 2 × 3 × 59 × 73, so it is divisible by 2.
What are the factors of 25842?
1, 2, 3, 6, 59, 73, 118, 146, 177, 219, 354, 438, 4307, 8614, 12921, 25842.
What is 25842 in binary?
110010011110010 (hexadecimal 64F2, octal 62362).
What is the square root of 25842?
About 160.7545.
Is 25842 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 25842?
It is a composite number with 16 divisors.