The number 25025
25025 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 13. Divisors (24): 1, 5, 7, 11, 13, 25, 35, 55, 65, 77, 91, 143, 175, 275, 325, 385 … 25025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25025 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 25025 itself that is 16639, so 25025 is deficient (16639 is less than 25025). Euler's totient φ(25025) = 14400 numbers up to 25025 share no factor with it.
- 4
The digits of 25025 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25025 = 5^{2} \times 7 \times 11 \times 13 \]25025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 14400 |
| Square | 626250625 |
| Cube | 15671921890625 |
| Square root | 158.192920 (= 5√1001) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.5025 × |
25025 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and twenty-five |
| Binary (base 2) | 110000111000001 |
| Octal (base 8) | 60701 |
| Hexadecimal (base 16) | 61C1 |
| Base 3 | 1021022212 |
| As time | 25025 seconds = 6 h 57 min 5 s |
Is 25025 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25025 ÷ 5 = 5005) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25025 ÷ 7 = 3575) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (25025 ÷ 11 = 2275) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25025 a prime number?
No. 25025 = × 7 × 11 × 13, so it is divisible by 5.
What are the factors of 25025?
1, 5, 7, 11, 13, 25, 35, 55, 65, 77, 91, 143, 175, 275, 325, 385, 455, 715, 1001, 1925, 2275, 3575, 5005, 25025.
What is 25025 in binary?
110000111000001 (hexadecimal 61C1, octal 60701).
What is the square root of 25025?
About 158.1929, exactly 5√1001.
Is 25025 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 25025?
It is a composite number with 24 divisors.