The number 73820
73820 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3691. Divisors (12): 1, 2, 4, 5, 10, 20, 3691, 7382, 14764, 18455, 36910, 73820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73820: a Harshad number: divisible by its digit sum 20.
- 2
73820 is composite. Its prime factorisation is
- 3
The divisors add up to 155064; without 73820 itself that is 81244, so 73820 is abundant (81244 is more than 73820). Euler's totient φ(73820) = 29520 numbers up to 73820 share no factor with it.
- 4
The digits of 73820 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73820 = 2^{2} \times 5 \times 3691 \]73820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 155064 |
| Euler totient φ(n) | 29520 |
| Square | 5449392400 |
| Cube | 402274146968000 |
| Square root | 271.698362 (= 2√18455) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.382 × |
73820 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and twenty |
| Binary (base 2) | 10010000001011100 |
| Octal (base 8) | 220134 |
| Hexadecimal (base 16) | 1205C |
| Base 3 | 10202021002 |
| As time | 73820 seconds = 20 h 30 min 20 s |
Is 73820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73820 ÷ 2 = 36910) | 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 (73820 ÷ 4 = 18455) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73820 ÷ 5 = 14764) | 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 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73820 ÷ 10 = 7382) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 73820 a prime number?
No. 73820 = × 5 × 3691, so it is divisible by 2.
What are the factors of 73820?
1, 2, 4, 5, 10, 20, 3691, 7382, 14764, 18455, 36910, 73820.
What is 73820 in binary?
10010000001011100 (hexadecimal 1205C, octal 220134).
What is the square root of 73820?
About 271.6984, exactly 2√18455.
Is 73820 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73820?
73820 is a Harshad number: divisible by its digit sum 20.