The number 8034
8034 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 103. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8034 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8034 is composite. Its prime factorisation is
- 3
The divisors add up to 17472; without 8034 itself that is 9438, so 8034 is abundant (9438 is more than 8034). Euler's totient φ(8034) = 2448 numbers up to 8034 share no factor with it.
- 4
The digits of 8034 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8034 = 2 \times 3 \times 13 \times 103 \]
8034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17472 |
| Euler totient φ(n) | 2448 |
| Square | 64545156 |
| Cube | 518555783304 |
| Square root | 89.632583 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 26 |
| Scientific notation | 8.034 × |
8034 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and thirty-four |
| Binary (base 2) | 1111101100010 |
| Octal (base 8) | 17542 |
| Hexadecimal (base 16) | 1F62 |
| Base 3 | 102000120 |
| As time | 8034 seconds = 2 h 13 min 54 s |
Is 8034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8034 ÷ 2 = 4017) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8034 ÷ 3 = 2678) | 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 | Yes (8034 ÷ 6 = 1339) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 4) | 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 8034 a prime number?
No. 8034 = 2 × 3 × 13 × 103, so it is divisible by 2.
What are the factors of 8034?
1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034.
What is 8034 in binary?
1111101100010 (hexadecimal 1F62, octal 17542).
What is the square root of 8034?
About 89.6326.
Is 8034 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8034?
It is a composite number with 16 divisors.