The number 83889
83889 is a composite number with 16 divisors. Its prime factorisation is × 13 × 239. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 239, 351, 717, 2151, 3107, 6453, 9321, 27963, 83889.
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How to work it out
- 1
83889 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83889 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 83889 itself that is 50511, so 83889 is deficient (50511 is less than 83889). Euler's totient φ(83889) = 51408 numbers up to 83889 share no factor with it.
- 4
The digits of 83889 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83889 = 3^{3} \times 13 \times 239 \]83889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 51408 |
| Square | 7037364321 |
| Cube | 590357455524369 |
| Square root | 289.635978 (= 3√9321) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3889 × |
83889 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and eighty-nine |
| Binary (base 2) | 10100011110110001 |
| Octal (base 8) | 243661 |
| Hexadecimal (base 16) | 147B1 |
| Base 3 | 11021002000 |
| As time | 83889 seconds = 23 h 18 min 9 s |
Is 83889 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 (83889 ÷ 3 = 27963) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83889 ÷ 9 = 9321) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83889 a prime number?
No. 83889 = × 13 × 239, so it is divisible by 3.
What are the factors of 83889?
1, 3, 9, 13, 27, 39, 117, 239, 351, 717, 2151, 3107, 6453, 9321, 27963, 83889.
What is 83889 in binary?
10100011110110001 (hexadecimal 147B1, octal 243661).
What is the square root of 83889?
About 289.6360, exactly 3√9321.
Is 83889 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 83889?
It is a composite number with 16 divisors.