The number 8026
8026 is a composite number with 4 divisors. Its prime factorisation is 2 × 4013. Divisors (4): 1, 2, 4013, 8026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8026: a semiprime: 2 × 4013, the product of two primes.
- 2
8026 is composite. Its prime factorisation is
- 3
The divisors add up to 12042; without 8026 itself that is 4016, so 8026 is deficient (4016 is less than 8026). Euler's totient φ(8026) = 4012 numbers up to 8026 share no factor with it.
- 4
The digits of 8026 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8026 = 2 \times 4013 \]
8026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12042 |
| Euler totient φ(n) | 4012 |
| Square | 64416676 |
| Cube | 517008241576 |
| Square root | 89.587946 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.026 × |
8026 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and twenty-six |
| Binary (base 2) | 1111101011010 |
| Octal (base 8) | 17532 |
| Hexadecimal (base 16) | 1F5A |
| Base 3 | 102000021 |
| As time | 8026 seconds = 2 h 13 min 46 s |
Is 8026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8026 ÷ 2 = 4013) | 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 | No (remainder 1) | 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 | No (remainder 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 8026 a prime number?
No. 8026 = 2 × 4013, so it is divisible by 2.
What are the factors of 8026?
1, 2, 4013, 8026.
What is 8026 in binary?
1111101011010 (hexadecimal 1F5A, octal 17532).
What is the square root of 8026?
About 89.5879.
Is 8026 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8026?
8026 is a semiprime: 2 × 4013, the product of two primes.