The number 73830
73830 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 23 × 107. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 107, 115, 138, 214, 230 … 73830.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73830 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73830 is composite. Its prime factorisation is
- 3
The divisors add up to 186624; without 73830 itself that is 112794, so 73830 is abundant (112794 is more than 73830). Euler's totient φ(73830) = 18656 numbers up to 73830 share no factor with it.
- 4
The digits of 73830 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73830 = 2 \times 3 \times 5 \times 23 \times 107 \]
73830 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 186624 |
| Euler totient φ(n) | 18656 |
| Square | 5450868900 |
| Cube | 402437650887000 |
| Square root | 271.716764 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.383 × |
73830 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and thirty |
| Binary (base 2) | 10010000001100110 |
| Octal (base 8) | 220146 |
| Hexadecimal (base 16) | 12066 |
| Base 3 | 10202021110 |
| As time | 73830 seconds = 20 h 30 min 30 s |
Is 73830 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73830 ÷ 2 = 36915) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73830 ÷ 3 = 24610) | 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 (73830 ÷ 5 = 14766) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73830 ÷ 6 = 12305) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73830 ÷ 10 = 7383) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73830 a prime number?
No. 73830 = 2 × 3 × 5 × 23 × 107, so it is divisible by 2.
What are the factors of 73830?
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 107, 115, 138, 214, 230, 321, 345, 535, 642, 690, 1070, 1605, 2461, 3210, 4922, 7383, 12305, 14766, 24610, 36915, 73830.
What is 73830 in binary?
10010000001100110 (hexadecimal 12066, octal 220146).
What is the square root of 73830?
About 271.7168.
Is 73830 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73830?
It is a composite number with 32 divisors.