The number 8046
8046 is a composite number with 16 divisors. Its prime factorisation is 2 × × 149. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8046: a Harshad number: divisible by its digit sum 18.
- 2
8046 is composite. Its prime factorisation is
- 3
The divisors add up to 18000; without 8046 itself that is 9954, so 8046 is abundant (9954 is more than 8046). Euler's totient φ(8046) = 2664 numbers up to 8046 share no factor with it.
- 4
The digits of 8046 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8046 = 2 \times 3^{3} \times 149 \]8046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18000 |
| Euler totient φ(n) | 2664 |
| Square | 64738116 |
| Cube | 520882881336 |
| Square root | 89.699498 (= 3√894) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.046 × |
8046 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and forty-six |
| Binary (base 2) | 1111101101110 |
| Octal (base 8) | 17556 |
| Hexadecimal (base 16) | 1F6E |
| Base 3 | 102001000 |
| As time | 8046 seconds = 2 h 14 min 6 s |
Is 8046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8046 ÷ 2 = 4023) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8046 ÷ 3 = 2682) | 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 | Yes (8046 ÷ 6 = 1341) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (8046 ÷ 9 = 894) | 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 5) | 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 8046 a prime number?
No. 8046 = 2 × × 149, so it is divisible by 2.
What are the factors of 8046?
1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046.
What is 8046 in binary?
1111101101110 (hexadecimal 1F6E, octal 17556).
What is the square root of 8046?
About 89.6995, exactly 3√894.
Is 8046 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8046?
8046 is a Harshad number: divisible by its digit sum 18.