The number 80032
80032 is a composite number with 24 divisors. Its prime factorisation is × 41 × 61. Divisors (24): 1, 2, 4, 8, 16, 32, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976 … 80032.
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How to work it out
- 1
80032 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80032 is composite. Its prime factorisation is
- 3
The divisors add up to 164052; without 80032 itself that is 84020, so 80032 is abundant (84020 is more than 80032). Euler's totient φ(80032) = 38400 numbers up to 80032 share no factor with it.
- 4
The digits of 80032 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80032 = 2^{5} \times 41 \times 61 \]80032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 164052 |
| Euler totient φ(n) | 38400 |
| Square | 6405121024 |
| Cube | 512614645792768 |
| Square root | 282.899275 (= 4√5002) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.0032 × |
80032 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and thirty-two |
| Binary (base 2) | 10011100010100000 |
| Octal (base 8) | 234240 |
| Hexadecimal (base 16) | 138A0 |
| Base 3 | 11001210011 |
| As time | 80032 seconds = 22 h 13 min 52 s |
Is 80032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80032 ÷ 2 = 40016) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80032 ÷ 4 = 20008) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (80032 ÷ 8 = 10004) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80032 a prime number?
No. 80032 = × 41 × 61, so it is divisible by 2.
What are the factors of 80032?
1, 2, 4, 8, 16, 32, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 1312, 1952, 2501, 5002, 10004, 20008, 40016, 80032.
What is 80032 in binary?
10011100010100000 (hexadecimal 138A0, octal 234240).
What is the square root of 80032?
About 282.8993, exactly 4√5002.
Is 80032 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80032?
It is a composite number with 24 divisors.