The number 80820
80820 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 449. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 80820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80820: a Harshad number: divisible by its digit sum 18.
- 2
80820 is composite. Its prime factorisation is
- 3
The divisors add up to 245700; without 80820 itself that is 164880, so 80820 is abundant (164880 is more than 80820). Euler's totient φ(80820) = 21504 numbers up to 80820 share no factor with it.
- 4
The digits of 80820 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80820 = 2^{2} \times 3^{2} \times 5 \times 449 \]80820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 245700 |
| Euler totient φ(n) | 21504 |
| Square | 6531872400 |
| Cube | 527905927368000 |
| Square root | 284.288586 (= 6√2245) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.082 × |
80820 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and twenty |
| Binary (base 2) | 10011101110110100 |
| Octal (base 8) | 235664 |
| Hexadecimal (base 16) | 13BB4 |
| Base 3 | 11002212100 |
| As time | 80820 seconds = 22 h 27 min 0 s |
Is 80820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80820 ÷ 2 = 40410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80820 ÷ 3 = 26940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80820 ÷ 4 = 20205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80820 ÷ 5 = 16164) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80820 ÷ 6 = 13470) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (80820 ÷ 9 = 8980) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80820 ÷ 10 = 8082) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80820 ÷ 12 = 6735) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80820 a prime number?
No. 80820 = × × 5 × 449, so it is divisible by 2.
What are the factors of 80820?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 449, 898, 1347, 1796, 2245, 2694, 4041, 4490, 5388, 6735, 8082, 8980, 13470, 16164, 20205, 26940, 40410, 80820.
What is 80820 in binary?
10011101110110100 (hexadecimal 13BB4, octal 235664).
What is the square root of 80820?
About 284.2886, exactly 6√2245.
Is 80820 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80820?
80820 is a Harshad number: divisible by its digit sum 18.