The number 73180
73180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3659. Divisors (12): 1, 2, 4, 5, 10, 20, 3659, 7318, 14636, 18295, 36590, 73180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73180 is composite. Its prime factorisation is
- 3
The divisors add up to 153720; without 73180 itself that is 80540, so 73180 is abundant (80540 is more than 73180). Euler's totient φ(73180) = 29264 numbers up to 73180 share no factor with it.
- 4
The digits of 73180 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73180 = 2^{2} \times 5 \times 3659 \]73180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 153720 |
| Euler totient φ(n) | 29264 |
| Square | 5355312400 |
| Cube | 391901761432000 |
| Square root | 270.518022 (= 2√18295) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.318 × |
73180 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and eighty |
| Binary (base 2) | 10001110111011100 |
| Octal (base 8) | 216734 |
| Hexadecimal (base 16) | 11DDC |
| Base 3 | 10201101101 |
| As time | 73180 seconds = 20 h 19 min 40 s |
Is 73180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73180 ÷ 2 = 36590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73180 ÷ 4 = 18295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73180 ÷ 5 = 14636) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73180 ÷ 10 = 7318) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73180 a prime number?
No. 73180 = × 5 × 3659, so it is divisible by 2.
What are the factors of 73180?
1, 2, 4, 5, 10, 20, 3659, 7318, 14636, 18295, 36590, 73180.
What is 73180 in binary?
10001110111011100 (hexadecimal 11DDC, octal 216734).
What is the square root of 73180?
About 270.5180, exactly 2√18295.
Is 73180 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73180?
It is a composite number with 12 divisors.