The number 80832
80832 is a composite number with 28 divisors. Its prime factorisation is × 3 × 421. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 421, 842 … 80832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80832 is composite. Its prime factorisation is
- 3
The divisors add up to 214376; without 80832 itself that is 133544, so 80832 is abundant (133544 is more than 80832). Euler's totient φ(80832) = 26880 numbers up to 80832 share no factor with it.
- 4
The digits of 80832 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80832 = 2^{6} \times 3 \times 421 \]80832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 214376 |
| Euler totient φ(n) | 26880 |
| Square | 6533812224 |
| Cube | 528141109690368 |
| Square root | 284.309690 (= 8√1263) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0832 × |
80832 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and thirty-two |
| Binary (base 2) | 10011101111000000 |
| Octal (base 8) | 235700 |
| Hexadecimal (base 16) | 13BC0 |
| Base 3 | 11002212210 |
| As time | 80832 seconds = 22 h 27 min 12 s |
Is 80832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80832 ÷ 2 = 40416) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80832 ÷ 3 = 26944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80832 ÷ 4 = 20208) | 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 | Yes (80832 ÷ 6 = 13472) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (80832 ÷ 8 = 10104) | 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 2) | 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 (80832 ÷ 12 = 6736) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80832 a prime number?
No. 80832 = × 3 × 421, so it is divisible by 2.
What are the factors of 80832?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 421, 842, 1263, 1684, 2526, 3368, 5052, 6736, 10104, 13472, 20208, 26944, 40416, 80832.
What is 80832 in binary?
10011101111000000 (hexadecimal 13BC0, octal 235700).
What is the square root of 80832?
About 284.3097, exactly 8√1263.
Is 80832 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80832?
It is a composite number with 28 divisors.