The number 83109
83109 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 2131. Divisors (8): 1, 3, 13, 39, 2131, 6393, 27703, 83109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83109 is composite. Its prime factorisation is
- 3
The divisors add up to 119392; without 83109 itself that is 36283, so 83109 is deficient (36283 is less than 83109). Euler's totient φ(83109) = 51120 numbers up to 83109 share no factor with it.
- 4
The digits of 83109 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83109 = 3 \times 13 \times 2131 \]
83109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 119392 |
| Euler totient φ(n) | 51120 |
| Square | 6907105881 |
| Cube | 574042662664029 |
| Square root | 288.286316 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.3109 × |
83109 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and nine |
| Binary (base 2) | 10100010010100101 |
| Octal (base 8) | 242245 |
| Hexadecimal (base 16) | 144A5 |
| Base 3 | 11020000010 |
| As time | 83109 seconds = 23 h 5 min 9 s |
Is 83109 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 (83109 ÷ 3 = 27703) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | 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 83109 a prime number?
No. 83109 = 3 × 13 × 2131, so it is divisible by 3.
What are the factors of 83109?
1, 3, 13, 39, 2131, 6393, 27703, 83109.
What is 83109 in binary?
10100010010100101 (hexadecimal 144A5, octal 242245).
What is the square root of 83109?
About 288.2863.
Is 83109 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83109?
It is a composite number with 8 divisors.