The number 25000
25000 is a composite number with 24 divisors. Its prime factorisation is × . Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625 … 25000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25000 is composite. Its prime factorisation is
- 3
The divisors add up to 58590; without 25000 itself that is 33590, so 25000 is abundant (33590 is more than 25000). Euler's totient φ(25000) = 10000 numbers up to 25000 share no factor with it.
- 4
The digits of 25000 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25000 = 2^{3} \times 5^{5} \]25000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 58590 |
| Euler totient φ(n) | 10000 |
| Square | 625000000 |
| Cube | 15625000000000 |
| Square root | 158.113883 (= 50√10) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5 × |
25000 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand |
| Binary (base 2) | 110000110101000 |
| Octal (base 8) | 60650 |
| Hexadecimal (base 16) | 61A8 |
| Base 3 | 1021021221 |
| As time | 25000 seconds = 6 h 56 min 40 s |
Is 25000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25000 ÷ 2 = 12500) | 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 (25000 ÷ 4 = 6250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25000 ÷ 5 = 5000) | 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 3) | 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 (25000 ÷ 8 = 3125) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25000 ÷ 10 = 2500) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 25000 a prime number?
No. 25000 = × , so it is divisible by 2.
What are the factors of 25000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 3125, 5000, 6250, 12500, 25000.
What is 25000 in binary?
110000110101000 (hexadecimal 61A8, octal 60650).
What is the square root of 25000?
About 158.1139, exactly 50√10.
Is 25000 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 25000?
It is a composite number with 24 divisors.