The number 80432
80432 is a composite number with 20 divisors. Its prime factorisation is × 11 × 457. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 457, 914, 1828, 3656, 5027, 7312 … 80432.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80432 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80432 is composite. Its prime factorisation is
- 3
The divisors add up to 170376; without 80432 itself that is 89944, so 80432 is abundant (89944 is more than 80432). Euler's totient φ(80432) = 36480 numbers up to 80432 share no factor with it.
- 4
The digits of 80432 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80432 = 2^{4} \times 11 \times 457 \]80432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 170376 |
| Euler totient φ(n) | 36480 |
| Square | 6469306624 |
| Cube | 520339270381568 |
| Square root | 283.605360 (= 4√5027) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0432 × |
80432 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and thirty-two |
| Binary (base 2) | 10011101000110000 |
| Octal (base 8) | 235060 |
| Hexadecimal (base 16) | 13A30 |
| Base 3 | 11002022222 |
| As time | 80432 seconds = 22 h 20 min 32 s |
Is 80432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80432 ÷ 2 = 40216) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80432 ÷ 4 = 20108) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (80432 ÷ 8 = 10054) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80432 ÷ 11 = 7312) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80432 a prime number?
No. 80432 = × 11 × 457, so it is divisible by 2.
What are the factors of 80432?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 457, 914, 1828, 3656, 5027, 7312, 10054, 20108, 40216, 80432.
What is 80432 in binary?
10011101000110000 (hexadecimal 13A30, octal 235060).
What is the square root of 80432?
About 283.6054, exactly 4√5027.
Is 80432 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80432?
It is a composite number with 20 divisors.