The number 80436
80436 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6703. Divisors (12): 1, 2, 3, 4, 6, 12, 6703, 13406, 20109, 26812, 40218, 80436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80436 is composite. Its prime factorisation is
- 3
The divisors add up to 187712; without 80436 itself that is 107276, so 80436 is abundant (107276 is more than 80436). Euler's totient φ(80436) = 26808 numbers up to 80436 share no factor with it.
- 4
The digits of 80436 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80436 = 2^{2} \times 3 \times 6703 \]80436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 187712 |
| Euler totient φ(n) | 26808 |
| Square | 6469950096 |
| Cube | 520416905921856 |
| Square root | 283.612412 (= 2√20109) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0436 × |
80436 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and thirty-six |
| Binary (base 2) | 10011101000110100 |
| Octal (base 8) | 235064 |
| Hexadecimal (base 16) | 13A34 |
| Base 3 | 11002100010 |
| As time | 80436 seconds = 22 h 20 min 36 s |
Is 80436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80436 ÷ 2 = 40218) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80436 ÷ 3 = 26812) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80436 ÷ 4 = 20109) | 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 (80436 ÷ 6 = 13406) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 6) | 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 | Yes (80436 ÷ 12 = 6703) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80436 a prime number?
No. 80436 = × 3 × 6703, so it is divisible by 2.
What are the factors of 80436?
1, 2, 3, 4, 6, 12, 6703, 13406, 20109, 26812, 40218, 80436.
What is 80436 in binary?
10011101000110100 (hexadecimal 13A34, octal 235064).
What is the square root of 80436?
About 283.6124, exactly 2√20109.
Is 80436 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80436?
It is a composite number with 12 divisors.