The number 8050
8050 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 23. Divisors (24): 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230 … 8050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8050 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8050 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 8050 itself that is 9806, so 8050 is abundant (9806 is more than 8050). Euler's totient φ(8050) = 2640 numbers up to 8050 share no factor with it.
- 4
The digits of 8050 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8050 = 2 \times 5^{2} \times 7 \times 23 \]8050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 2640 |
| Square | 64802500 |
| Cube | 521660125000 |
| Square root | 89.721792 (= 5√322) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 8.05 × |
8050 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and fifty |
| Binary (base 2) | 1111101110010 |
| Octal (base 8) | 17562 |
| Hexadecimal (base 16) | 1F72 |
| Base 3 | 102001011 |
| As time | 8050 seconds = 2 h 14 min 10 s |
Is 8050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8050 ÷ 2 = 4025) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8050 ÷ 5 = 1610) | 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 | Yes (8050 ÷ 7 = 1150) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8050 ÷ 10 = 805) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8050 a prime number?
No. 8050 = 2 × × 7 × 23, so it is divisible by 2.
What are the factors of 8050?
1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050.
What is 8050 in binary?
1111101110010 (hexadecimal 1F72, octal 17562).
What is the square root of 8050?
About 89.7218, exactly 5√322.
Is 8050 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8050?
It is a composite number with 24 divisors.