The number 83088
83088 is a composite number with 30 divisors. Its prime factorisation is × × 577. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 577 … 83088.
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How to work it out
- 1
83088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83088 is composite. Its prime factorisation is
- 3
The divisors add up to 232934; without 83088 itself that is 149846, so 83088 is abundant (149846 is more than 83088). Euler's totient φ(83088) = 27648 numbers up to 83088 share no factor with it.
- 4
The digits of 83088 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83088 = 2^{4} \times 3^{2} \times 577 \]83088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 232934 |
| Euler totient φ(n) | 27648 |
| Square | 6903615744 |
| Cube | 573607624937472 |
| Square root | 288.249892 (= 12√577) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3088 × |
83088 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and eighty-eight |
| Binary (base 2) | 10100010010010000 |
| Octal (base 8) | 242220 |
| Hexadecimal (base 16) | 14490 |
| Base 3 | 11012222100 |
| As time | 83088 seconds = 23 h 4 min 48 s |
Is 83088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83088 ÷ 2 = 41544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83088 ÷ 3 = 27696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83088 ÷ 4 = 20772) | 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 (83088 ÷ 6 = 13848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (83088 ÷ 8 = 10386) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83088 ÷ 9 = 9232) | 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 (83088 ÷ 12 = 6924) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83088 a prime number?
No. 83088 = × × 577, so it is divisible by 2.
What are the factors of 83088?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 577, 1154, 1731, 2308, 3462, 4616, 5193, 6924, 9232, 10386, 13848, 20772, 27696, 41544, 83088.
What is 83088 in binary?
10100010010010000 (hexadecimal 14490, octal 242220).
What is the square root of 83088?
About 288.2499, exactly 12√577.
Is 83088 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83088?
It is a composite number with 30 divisors.