The number 80409
80409 is a composite number with 12 divisors. Its prime factorisation is 3 × × 547. Divisors (12): 1, 3, 7, 21, 49, 147, 547, 1641, 3829, 11487, 26803, 80409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80409: a Harshad number: divisible by its digit sum 21.
- 2
80409 is composite. Its prime factorisation is
- 3
The divisors add up to 124944; without 80409 itself that is 44535, so 80409 is deficient (44535 is less than 80409). Euler's totient φ(80409) = 45864 numbers up to 80409 share no factor with it.
- 4
The digits of 80409 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80409 = 3 \times 7^{2} \times 547 \]80409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124944 |
| Euler totient φ(n) | 45864 |
| Square | 6465607281 |
| Cube | 519893015857929 |
| Square root | 283.564807 (= 7√1641) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0409 × |
80409 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and nine |
| Binary (base 2) | 10011101000011001 |
| Octal (base 8) | 235031 |
| Hexadecimal (base 16) | 13A19 |
| Base 3 | 11002022010 |
| As time | 80409 seconds = 22 h 20 min 9 s |
Is 80409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80409 ÷ 3 = 26803) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80409 ÷ 7 = 11487) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80409 a prime number?
No. 80409 = 3 × × 547, so it is divisible by 3.
What are the factors of 80409?
1, 3, 7, 21, 49, 147, 547, 1641, 3829, 11487, 26803, 80409.
What is 80409 in binary?
10011101000011001 (hexadecimal 13A19, octal 235031).
What is the square root of 80409?
About 283.5648, exactly 7√1641.
Is 80409 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80409?
80409 is a Harshad number: divisible by its digit sum 21.