The number 32080
32080 is a composite number with 20 divisors. Its prime factorisation is × 5 × 401. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 401, 802, 1604, 2005, 3208, 4010 … 32080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32080 is composite. Its prime factorisation is
- 3
The divisors add up to 74772; without 32080 itself that is 42692, so 32080 is abundant (42692 is more than 32080). Euler's totient φ(32080) = 12800 numbers up to 32080 share no factor with it.
- 4
The digits of 32080 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32080 = 2^{4} \times 5 \times 401 \]32080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 74772 |
| Euler totient φ(n) | 12800 |
| Square | 1029126400 |
| Cube | 33014374912000 |
| Square root | 179.108905 (= 4√2005) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.208 × |
32080 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and eighty |
| Binary (base 2) | 111110101010000 |
| Octal (base 8) | 76520 |
| Hexadecimal (base 16) | 7D50 |
| Base 3 | 1122000011 |
| As time | 32080 seconds = 8 h 54 min 40 s |
Is 32080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32080 ÷ 2 = 16040) | 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 (32080 ÷ 4 = 8020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32080 ÷ 5 = 6416) | 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 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 | Yes (32080 ÷ 8 = 4010) | 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 | Yes (32080 ÷ 10 = 3208) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32080 a prime number?
No. 32080 = × 5 × 401, so it is divisible by 2.
What are the factors of 32080?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 401, 802, 1604, 2005, 3208, 4010, 6416, 8020, 16040, 32080.
What is 32080 in binary?
111110101010000 (hexadecimal 7D50, octal 76520).
What is the square root of 32080?
About 179.1089, exactly 4√2005.
Is 32080 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 32080?
It is a composite number with 20 divisors.