The number 73088
73088 is a composite number with 16 divisors. Its prime factorisation is × 571. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 571, 1142, 2284, 4568, 9136, 18272, 36544, 73088.
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How to work it out
- 1
73088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73088 is composite. Its prime factorisation is
- 3
The divisors add up to 145860; without 73088 itself that is 72772, so 73088 is deficient (72772 is less than 73088). Euler's totient φ(73088) = 36480 numbers up to 73088 share no factor with it.
- 4
The digits of 73088 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73088 = 2^{7} \times 571 \]73088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145860 |
| Euler totient φ(n) | 36480 |
| Square | 5341855744 |
| Cube | 390425552617472 |
| Square root | 270.347924 (= 8√1142) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3088 × |
73088 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and eighty-eight |
| Binary (base 2) | 10001110110000000 |
| Octal (base 8) | 216600 |
| Hexadecimal (base 16) | 11D80 |
| Base 3 | 10201020222 |
| As time | 73088 seconds = 20 h 18 min 8 s |
Is 73088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73088 ÷ 2 = 36544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73088 ÷ 4 = 18272) | 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 | No (remainder 2) | 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 | Yes (73088 ÷ 8 = 9136) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73088 a prime number?
No. 73088 = × 571, so it is divisible by 2.
What are the factors of 73088?
1, 2, 4, 8, 16, 32, 64, 128, 571, 1142, 2284, 4568, 9136, 18272, 36544, 73088.
What is 73088 in binary?
10001110110000000 (hexadecimal 11D80, octal 216600).
What is the square root of 73088?
About 270.3479, exactly 8√1142.
Is 73088 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73088?
It is a composite number with 16 divisors.