The number 83180
83180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4159. Divisors (12): 1, 2, 4, 5, 10, 20, 4159, 8318, 16636, 20795, 41590, 83180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83180: a Harshad number: divisible by its digit sum 20.
- 2
83180 is composite. Its prime factorisation is
- 3
The divisors add up to 174720; without 83180 itself that is 91540, so 83180 is abundant (91540 is more than 83180). Euler's totient φ(83180) = 33264 numbers up to 83180 share no factor with it.
- 4
The digits of 83180 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83180 = 2^{2} \times 5 \times 4159 \]83180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 174720 |
| Euler totient φ(n) | 33264 |
| Square | 6918912400 |
| Cube | 575515133432000 |
| Square root | 288.409431 (= 2√20795) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.318 × |
83180 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and eighty |
| Binary (base 2) | 10100010011101100 |
| Octal (base 8) | 242354 |
| Hexadecimal (base 16) | 144EC |
| Base 3 | 11020002202 |
| As time | 83180 seconds = 23 h 6 min 20 s |
Is 83180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83180 ÷ 2 = 41590) | 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 (83180 ÷ 4 = 20795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83180 ÷ 5 = 16636) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83180 ÷ 10 = 8318) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 83180 a prime number?
No. 83180 = × 5 × 4159, so it is divisible by 2.
What are the factors of 83180?
1, 2, 4, 5, 10, 20, 4159, 8318, 16636, 20795, 41590, 83180.
What is 83180 in binary?
10100010011101100 (hexadecimal 144EC, octal 242354).
What is the square root of 83180?
About 288.4094, exactly 2√20795.
Is 83180 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83180?
83180 is a Harshad number: divisible by its digit sum 20.