The number 73230
73230 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2441. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2441, 4882, 7323, 12205, 14646, 24410, 36615, 73230.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73230: a Harshad number: divisible by its digit sum 15.
- 2
73230 is composite. Its prime factorisation is
- 3
The divisors add up to 175824; without 73230 itself that is 102594, so 73230 is abundant (102594 is more than 73230). Euler's totient φ(73230) = 19520 numbers up to 73230 share no factor with it.
- 4
The digits of 73230 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73230 = 2 \times 3 \times 5 \times 2441 \]
73230 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 175824 |
| Euler totient φ(n) | 19520 |
| Square | 5362632900 |
| Cube | 392705607267000 |
| Square root | 270.610421 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.323 × |
73230 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and thirty |
| Binary (base 2) | 10001111000001110 |
| Octal (base 8) | 217016 |
| Hexadecimal (base 16) | 11E0E |
| Base 3 | 10201110020 |
| As time | 73230 seconds = 20 h 20 min 30 s |
Is 73230 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73230 ÷ 2 = 36615) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73230 ÷ 3 = 24410) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73230 ÷ 5 = 14646) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73230 ÷ 6 = 12205) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73230 ÷ 10 = 7323) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73230 a prime number?
No. 73230 = 2 × 3 × 5 × 2441, so it is divisible by 2.
What are the factors of 73230?
1, 2, 3, 5, 6, 10, 15, 30, 2441, 4882, 7323, 12205, 14646, 24410, 36615, 73230.
What is 73230 in binary?
10001111000001110 (hexadecimal 11E0E, octal 217016).
What is the square root of 73230?
About 270.6104.
Is 73230 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 73230?
73230 is a Harshad number: divisible by its digit sum 15.