The number 73188
73188 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 107. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 107, 114, 171 … 73188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73188 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 73188 itself that is 123372, so 73188 is abundant (123372 is more than 73188). Euler's totient φ(73188) = 22896 numbers up to 73188 share no factor with it.
- 4
The digits of 73188 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73188 = 2^{2} \times 3^{2} \times 19 \times 107 \]73188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 22896 |
| Square | 5356483344 |
| Cube | 392030302980672 |
| Square root | 270.532808 (= 6√2033) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3188 × |
73188 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and eighty-eight |
| Binary (base 2) | 10001110111100100 |
| Octal (base 8) | 216744 |
| Hexadecimal (base 16) | 11DE4 |
| Base 3 | 10201101200 |
| As time | 73188 seconds = 20 h 19 min 48 s |
Is 73188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73188 ÷ 2 = 36594) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73188 ÷ 3 = 24396) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73188 ÷ 4 = 18297) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73188 ÷ 6 = 12198) | 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 | Yes (73188 ÷ 9 = 8132) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73188 ÷ 12 = 6099) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73188 a prime number?
No. 73188 = × × 19 × 107, so it is divisible by 2.
What are the factors of 73188?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 107, 114, 171, 214, 228, 321, 342, 428, 642, 684, 963, 1284, 1926, 2033, 3852, 4066, 6099, 8132, 12198, 18297, 24396, 36594, 73188.
What is 73188 in binary?
10001110111100100 (hexadecimal 11DE4, octal 216744).
What is the square root of 73188?
About 270.5328, exactly 6√2033.
Is 73188 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73188?
It is a composite number with 36 divisors.