The number 10025
10025 is a composite number with 6 divisors. Its prime factorisation is Ć 401. Divisors (6): 1, 5, 25, 401, 2005, 10025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10025 is composite. Its prime factorisation is
- 3
The divisors add up to 12462; without 10025 itself that is 2437, so 10025 is deficient (2437 is less than 10025). Euler's totient Ļ(10025) = 8000 numbers up to 10025 share no factor with it.
- 4
The digits of 10025 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10025 = 5^{2} \times 401 \]10025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 12462 |
| Euler totient Ļ(n) | 8000 |
| Square | 100500625 |
| Cube | 1007518765625 |
| Square root | 100.124922 (= 5ā401) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0025 Ć |
10025 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and twenty-five |
| Binary (base 2) | 10011100101001 |
| Octal (base 8) | 23451 |
| Hexadecimal (base 16) | 2729 |
| Base 3 | 111202022 |
| As time | 10025 seconds = 2 h 47 min 5 s |
Is 10025 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 (10025 Ć· 5 = 2005) | 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 | No (remainder 1) | 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 8) | 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 | No (remainder 4) | 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 10025 a prime number?
No. 10025 = Ć 401, so it is divisible by 5.
What are the factors of 10025?
1, 5, 25, 401, 2005, 10025.
What is 10025 in binary?
10011100101001 (hexadecimal 2729, octal 23451).
What is the square root of 10025?
About 100.1249, exactly 5ā401.
Is 10025 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 10025?
It is a composite number with 6 divisors.