The number 8490
8490 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 283. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8490 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8490 is composite. Its prime factorisation is
- 3
The divisors add up to 20448; without 8490 itself that is 11958, so 8490 is abundant (11958 is more than 8490). Euler's totient φ(8490) = 2256 numbers up to 8490 share no factor with it.
- 4
The digits of 8490 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8490 = 2 \times 3 \times 5 \times 283 \]
8490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20448 |
| Euler totient φ(n) | 2256 |
| Square | 72080100 |
| Cube | 611960049000 |
| Square root | 92.141196 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.49 × |
8490 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and ninety |
| Binary (base 2) | 10000100101010 |
| Octal (base 8) | 20452 |
| Hexadecimal (base 16) | 212A |
| Base 3 | 102122110 |
| As time | 8490 seconds = 2 h 21 min 30 s |
Is 8490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8490 ÷ 2 = 4245) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8490 ÷ 3 = 2830) | 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 (8490 ÷ 5 = 1698) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8490 ÷ 6 = 1415) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8490 ÷ 10 = 849) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8490 a prime number?
No. 8490 = 2 × 3 × 5 × 283, so it is divisible by 2.
What are the factors of 8490?
1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490.
What is 8490 in binary?
10000100101010 (hexadecimal 212A, octal 20452).
What is the square root of 8490?
About 92.1412.
Is 8490 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8490?
It is a composite number with 16 divisors.