The number 8063
8063 is a composite number with 4 divisors. Its prime factorisation is 11 × 733. Divisors (4): 1, 11, 733, 8063.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8063: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 733, the product of two primes.
- 2
8063 is composite. Its prime factorisation is
- 3
The divisors add up to 8808; without 8063 itself that is 745, so 8063 is deficient (745 is less than 8063). Euler's totient φ(8063) = 7320 numbers up to 8063 share no factor with it.
- 4
The digits of 8063 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8063 = 11 \times 733 \]
8063 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8808 |
| Euler totient φ(n) | 7320 |
| Square | 65011969 |
| Cube | 524191506047 |
| Square root | 89.794209 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.063 × |
8063 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and sixty-three |
| Binary (base 2) | 1111101111111 |
| Octal (base 8) | 17577 |
| Hexadecimal (base 16) | 1F7F |
| Base 3 | 102001122 |
| As time | 8063 seconds = 2 h 14 min 23 s |
Is 8063 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8063 ÷ 11 = 733) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8063 a prime number?
No. 8063 = 11 × 733, so it is divisible by 11.
What are the factors of 8063?
1, 11, 733, 8063.
What is 8063 in binary?
1111101111111 (hexadecimal 1F7F, octal 17577).
What is the square root of 8063?
About 89.7942.
Is 8063 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8063?
8063 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 733, the product of two primes.