The number 73482
73482 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 331. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 222, 331, 662, 993, 1986, 12247, 24494, 36741, 73482.
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How to work it out
- 1
73482 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73482 is composite. Its prime factorisation is
- 3
The divisors add up to 151392; without 73482 itself that is 77910, so 73482 is abundant (77910 is more than 73482). Euler's totient φ(73482) = 23760 numbers up to 73482 share no factor with it.
- 4
The digits of 73482 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73482 = 2 \times 3 \times 37 \times 331 \]
73482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151392 |
| Euler totient φ(n) | 23760 |
| Square | 5399604324 |
| Cube | 396773724936168 |
| Square root | 271.075635 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3482 × |
73482 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and eighty-two |
| Binary (base 2) | 10001111100001010 |
| Octal (base 8) | 217412 |
| Hexadecimal (base 16) | 11F0A |
| Base 3 | 10201210120 |
| As time | 73482 seconds = 20 h 24 min 42 s |
Is 73482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73482 ÷ 2 = 36741) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73482 ÷ 3 = 24494) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73482 ÷ 6 = 12247) | 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 2) | 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 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73482 a prime number?
No. 73482 = 2 × 3 × 37 × 331, so it is divisible by 2.
What are the factors of 73482?
1, 2, 3, 6, 37, 74, 111, 222, 331, 662, 993, 1986, 12247, 24494, 36741, 73482.
What is 73482 in binary?
10001111100001010 (hexadecimal 11F0A, octal 217412).
What is the square root of 73482?
About 271.0756.
Is 73482 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73482?
It is a composite number with 16 divisors.