The number 73020
73020 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1217. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1217, 2434, 3651, 4868 … 73020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73020: a Harshad number: divisible by its digit sum 12.
- 2
73020 is composite. Its prime factorisation is
- 3
The divisors add up to 204624; without 73020 itself that is 131604, so 73020 is abundant (131604 is more than 73020). Euler's totient φ(73020) = 19456 numbers up to 73020 share no factor with it.
- 4
The digits of 73020 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73020 = 2^{2} \times 3 \times 5 \times 1217 \]73020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 204624 |
| Euler totient φ(n) | 19456 |
| Square | 5331920400 |
| Cube | 389336827608000 |
| Square root | 270.222131 (= 2√18255) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.302 × |
73020 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and twenty |
| Binary (base 2) | 10001110100111100 |
| Octal (base 8) | 216474 |
| Hexadecimal (base 16) | 11D3C |
| Base 3 | 10201011110 |
| As time | 73020 seconds = 20 h 17 min 0 s |
Is 73020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73020 ÷ 2 = 36510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73020 ÷ 3 = 24340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73020 ÷ 4 = 18255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73020 ÷ 5 = 14604) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73020 ÷ 6 = 12170) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73020 ÷ 10 = 7302) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73020 ÷ 12 = 6085) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73020 a prime number?
No. 73020 = × 3 × 5 × 1217, so it is divisible by 2.
What are the factors of 73020?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1217, 2434, 3651, 4868, 6085, 7302, 12170, 14604, 18255, 24340, 36510, 73020.
What is 73020 in binary?
10001110100111100 (hexadecimal 11D3C, octal 216474).
What is the square root of 73020?
About 270.2221, exactly 2√18255.
Is 73020 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 73020?
73020 is a Harshad number: divisible by its digit sum 12.