The number 80046
80046 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4447. Divisors (12): 1, 2, 3, 6, 9, 18, 4447, 8894, 13341, 26682, 40023, 80046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80046: a Harshad number: divisible by its digit sum 18.
- 2
80046 is composite. Its prime factorisation is
- 3
The divisors add up to 173472; without 80046 itself that is 93426, so 80046 is abundant (93426 is more than 80046). Euler's totient φ(80046) = 26676 numbers up to 80046 share no factor with it.
- 4
The digits of 80046 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80046 = 2 \times 3^{2} \times 4447 \]80046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 173472 |
| Euler totient φ(n) | 26676 |
| Square | 6407362116 |
| Cube | 512883707937336 |
| Square root | 282.924018 (= 3√8894) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0046 × |
80046 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and forty-six |
| Binary (base 2) | 10011100010101110 |
| Octal (base 8) | 234256 |
| Hexadecimal (base 16) | 138AE |
| Base 3 | 11001210200 |
| As time | 80046 seconds = 22 h 14 min 6 s |
Is 80046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80046 ÷ 2 = 40023) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80046 ÷ 3 = 26682) | 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 (80046 ÷ 6 = 13341) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (80046 ÷ 9 = 8894) | 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 10) | 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 80046 a prime number?
No. 80046 = 2 × × 4447, so it is divisible by 2.
What are the factors of 80046?
1, 2, 3, 6, 9, 18, 4447, 8894, 13341, 26682, 40023, 80046.
What is 80046 in binary?
10011100010101110 (hexadecimal 138AE, octal 234256).
What is the square root of 80046?
About 282.9240, exactly 3√8894.
Is 80046 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80046?
80046 is a Harshad number: divisible by its digit sum 18.