The number 8450
8450 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690 … 8450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8450 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8450 is composite. Its prime factorisation is
- 3
The divisors add up to 17019; without 8450 itself that is 8569, so 8450 is abundant (8569 is more than 8450). Euler's totient φ(8450) = 3120 numbers up to 8450 share no factor with it.
- 4
The digits of 8450 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8450 = 2 \times 5^{2} \times 13^{2} \]8450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 17019 |
| Euler totient φ(n) | 3120 |
| Square | 71402500 |
| Cube | 603351125000 |
| Square root | 91.923882 (= 65√2) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 8.45 × |
8450 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and fifty |
| Binary (base 2) | 10000100000010 |
| Octal (base 8) | 20402 |
| Hexadecimal (base 16) | 2102 |
| Base 3 | 102120222 |
| As time | 8450 seconds = 2 h 20 min 50 s |
Is 8450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8450 ÷ 2 = 4225) | 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 (8450 ÷ 5 = 1690) | 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 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 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 (8450 ÷ 10 = 845) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 8450 a prime number?
No. 8450 = 2 × × , so it is divisible by 2.
What are the factors of 8450?
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450.
What is 8450 in binary?
10000100000010 (hexadecimal 2102, octal 20402).
What is the square root of 8450?
About 91.9239, exactly 65√2.
Is 8450 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8450?
It is a composite number with 18 divisors.