The number 8014
8014 is a composite number with 4 divisors. Its prime factorisation is 2 × 4007. Divisors (4): 1, 2, 4007, 8014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8014: a semiprime: 2 × 4007, the product of two primes.
- 2
8014 is composite. Its prime factorisation is
- 3
The divisors add up to 12024; without 8014 itself that is 4010, so 8014 is deficient (4010 is less than 8014). Euler's totient φ(8014) = 4006 numbers up to 8014 share no factor with it.
- 4
The digits of 8014 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8014 = 2 \times 4007 \]
8014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12024 |
| Euler totient φ(n) | 4006 |
| Square | 64224196 |
| Cube | 514692706744 |
| Square root | 89.520947 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.014 × |
8014 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and fourteen |
| Binary (base 2) | 1111101001110 |
| Octal (base 8) | 17516 |
| Hexadecimal (base 16) | 1F4E |
| Base 3 | 101222211 |
| As time | 8014 seconds = 2 h 13 min 34 s |
Is 8014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8014 ÷ 2 = 4007) | 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 4) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8014 a prime number?
No. 8014 = 2 × 4007, so it is divisible by 2.
What are the factors of 8014?
1, 2, 4007, 8014.
What is 8014 in binary?
1111101001110 (hexadecimal 1F4E, octal 17516).
What is the square root of 8014?
About 89.5209.
Is 8014 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8014?
8014 is a semiprime: 2 × 4007, the product of two primes.