The number 80406
80406 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1489. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1489, 2978, 4467, 8934, 13401, 26802, 40203, 80406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80406: a Harshad number: divisible by its digit sum 18.
- 2
80406 is composite. Its prime factorisation is
- 3
The divisors add up to 178800; without 80406 itself that is 98394, so 80406 is abundant (98394 is more than 80406). Euler's totient φ(80406) = 26784 numbers up to 80406 share no factor with it.
- 4
The digits of 80406 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80406 = 2 \times 3^{3} \times 1489 \]80406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 178800 |
| Euler totient φ(n) | 26784 |
| Square | 6465124836 |
| Cube | 519834827563416 |
| Square root | 283.559518 (= 3√8934) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0406 × |
80406 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and six |
| Binary (base 2) | 10011101000010110 |
| Octal (base 8) | 235026 |
| Hexadecimal (base 16) | 13A16 |
| Base 3 | 11002022000 |
| As time | 80406 seconds = 22 h 20 min 6 s |
Is 80406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80406 ÷ 2 = 40203) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80406 ÷ 3 = 26802) | 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 (80406 ÷ 6 = 13401) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80406 ÷ 9 = 8934) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80406 a prime number?
No. 80406 = 2 × × 1489, so it is divisible by 2.
What are the factors of 80406?
1, 2, 3, 6, 9, 18, 27, 54, 1489, 2978, 4467, 8934, 13401, 26802, 40203, 80406.
What is 80406 in binary?
10011101000010110 (hexadecimal 13A16, octal 235026).
What is the square root of 80406?
About 283.5595, exactly 3√8934.
Is 80406 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80406?
80406 is a Harshad number: divisible by its digit sum 18.