The number 83080
83080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 31 × 67. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 67, 124, 134, 155, 248, 268 … 83080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83080 is composite. Its prime factorisation is
- 3
The divisors add up to 195840; without 83080 itself that is 112760, so 83080 is abundant (112760 is more than 83080). Euler's totient φ(83080) = 31680 numbers up to 83080 share no factor with it.
- 4
The digits of 83080 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83080 = 2^{3} \times 5 \times 31 \times 67 \]83080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 195840 |
| Euler totient φ(n) | 31680 |
| Square | 6902286400 |
| Cube | 573441954112000 |
| Square root | 288.236014 (= 2√20770) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.308 × |
83080 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and eighty |
| Binary (base 2) | 10100010010001000 |
| Octal (base 8) | 242210 |
| Hexadecimal (base 16) | 14488 |
| Base 3 | 11012222001 |
| As time | 83080 seconds = 23 h 4 min 40 s |
Is 83080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83080 ÷ 2 = 41540) | 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 (83080 ÷ 4 = 20770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83080 ÷ 5 = 16616) | 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 4) | 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 (83080 ÷ 8 = 10385) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83080 ÷ 10 = 8308) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 83080 a prime number?
No. 83080 = × 5 × 31 × 67, so it is divisible by 2.
What are the factors of 83080?
1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 67, 124, 134, 155, 248, 268, 310, 335, 536, 620, 670, 1240, 1340, 2077, 2680, 4154, 8308, 10385, 16616, 20770, 41540, 83080.
What is 83080 in binary?
10100010010001000 (hexadecimal 14488, octal 242210).
What is the square root of 83080?
About 288.2360, exactly 2√20770.
Is 83080 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 83080?
It is a composite number with 32 divisors.