The number 80883
80883 is a composite number with 24 divisors. Its prime factorisation is × 11 × 19 × 43. Divisors (24): 1, 3, 9, 11, 19, 33, 43, 57, 99, 129, 171, 209, 387, 473, 627, 817 … 80883.
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How to work it out
- 1
80883 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80883 is composite. Its prime factorisation is
- 3
The divisors add up to 137280; without 80883 itself that is 56397, so 80883 is deficient (56397 is less than 80883). Euler's totient φ(80883) = 45360 numbers up to 80883 share no factor with it.
- 4
The digits of 80883 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
\[ 80883 = 3^{2} \times 11 \times 19 \times 43 \]80883 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137280 |
| Euler totient φ(n) | 45360 |
| Square | 6542059689 |
| Cube | 529141413825387 |
| Square root | 284.399367 (= 3√8987) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0883 × |
80883 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand eight hundred and eighty-three |
| Binary (base 2) | 10011101111110011 |
| Octal (base 8) | 235763 |
| Hexadecimal (base 16) | 13BF3 |
| Base 3 | 11002221200 |
| As time | 80883 seconds = 22 h 28 min 3 s |
Is 80883 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80883 ÷ 3 = 26961) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80883 ÷ 9 = 8987) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80883 ÷ 11 = 7353) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80883 a prime number?
No. 80883 = × 11 × 19 × 43, so it is divisible by 3.
What are the factors of 80883?
1, 3, 9, 11, 19, 33, 43, 57, 99, 129, 171, 209, 387, 473, 627, 817, 1419, 1881, 2451, 4257, 7353, 8987, 26961, 80883.
What is 80883 in binary?
10011101111110011 (hexadecimal 13BF3, octal 235763).
What is the square root of 80883?
About 284.3994, exactly 3√8987.
Is 80883 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80883?
It is a composite number with 24 divisors.