The number 10250
10250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 41. Divisors (16): 1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10250 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 10250 itself that is 9406, so 10250 is deficient (9406 is less than 10250). Euler's totient φ(10250) = 4000 numbers up to 10250 share no factor with it.
- 4
The digits of 10250 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10250 = 2 \times 5^{3} \times 41 \]10250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 4000 |
| Square | 105062500 |
| Cube | 1076890625000 |
| Square root | 101.242284 (= 5√410) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.025 × |
10250 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and fifty |
| Binary (base 2) | 10100000001010 |
| Octal (base 8) | 24012 |
| Hexadecimal (base 16) | 280A |
| Base 3 | 112001122 |
| As time | 10250 seconds = 2 h 50 min 50 s |
Is 10250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10250 ÷ 2 = 5125) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10250 ÷ 5 = 2050) | 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 | No (remainder 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10250 ÷ 10 = 1025) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10250 a prime number?
No. 10250 = 2 × × 41, so it is divisible by 2.
What are the factors of 10250?
1, 2, 5, 10, 25, 41, 50, 82, 125, 205, 250, 410, 1025, 2050, 5125, 10250.
What is 10250 in binary?
10100000001010 (hexadecimal 280A, octal 24012).
What is the square root of 10250?
About 101.2423, exactly 5√410.
Is 10250 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 10250?
It is a composite number with 16 divisors.