The number 8190
8190 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 13. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35 … 8190.
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How to work it out
- 1
What is special about 8190: a Harshad number: divisible by its digit sum 18.
- 2
8190 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 8190 itself that is 18018, so 8190 is abundant (18018 is more than 8190). Euler's totient φ(8190) = 1728 numbers up to 8190 share no factor with it.
- 4
The digits of 8190 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8190 = 2 \times 3^{2} \times 5 \times 7 \times 13 \]8190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 1728 |
| Square | 67076100 |
| Cube | 549353259000 |
| Square root | 90.498619 (= 3√910) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.19 × |
8190 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and ninety |
| Binary (base 2) | 1111111111110 |
| Octal (base 8) | 17776 |
| Hexadecimal (base 16) | 1FFE |
| Base 3 | 102020100 |
| As time | 8190 seconds = 2 h 16 min 30 s |
Is 8190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8190 ÷ 2 = 4095) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8190 ÷ 3 = 2730) | 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 (8190 ÷ 5 = 1638) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8190 ÷ 6 = 1365) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8190 ÷ 7 = 1170) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8190 ÷ 9 = 910) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8190 ÷ 10 = 819) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 8190 a prime number?
No. 8190 = 2 × × 5 × 7 × 13, so it is divisible by 2.
What are the factors of 8190?
1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190.
What is 8190 in binary?
1111111111110 (hexadecimal 1FFE, octal 17776).
What is the square root of 8190?
About 90.4986, exactly 3√910.
Is 8190 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8190?
8190 is a Harshad number: divisible by its digit sum 18.