The number 8250
8250 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × × 11. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75 … 8250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8250: a Harshad number: divisible by its digit sum 15.
- 2
8250 is composite. Its prime factorisation is
- 3
The divisors add up to 22464; without 8250 itself that is 14214, so 8250 is abundant (14214 is more than 8250). Euler's totient φ(8250) = 2000 numbers up to 8250 share no factor with it.
- 4
The digits of 8250 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8250 = 2 \times 3 \times 5^{3} \times 11 \]8250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 22464 |
| Euler totient φ(n) | 2000 |
| Square | 68062500 |
| Cube | 561515625000 |
| Square root | 90.829511 (= 5√330) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.25 × |
8250 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and fifty |
| Binary (base 2) | 10000000111010 |
| Octal (base 8) | 20072 |
| Hexadecimal (base 16) | 203A |
| Base 3 | 102022120 |
| As time | 8250 seconds = 2 h 17 min 30 s |
Is 8250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8250 ÷ 2 = 4125) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8250 ÷ 3 = 2750) | 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 (8250 ÷ 5 = 1650) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8250 ÷ 6 = 1375) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8250 ÷ 10 = 825) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8250 ÷ 11 = 750) | 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 8250 a prime number?
No. 8250 = 2 × 3 × × 11, so it is divisible by 2.
What are the factors of 8250?
1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250.
What is 8250 in binary?
10000000111010 (hexadecimal 203A, octal 20072).
What is the square root of 8250?
About 90.8295, exactly 5√330.
Is 8250 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8250?
8250 is a Harshad number: divisible by its digit sum 15.