The number 83108
83108 is a composite number with 12 divisors. Its prime factorisation is × 79 × 263. Divisors (12): 1, 2, 4, 79, 158, 263, 316, 526, 1052, 20777, 41554, 83108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83108 is composite. Its prime factorisation is
- 3
The divisors add up to 147840; without 83108 itself that is 64732, so 83108 is deficient (64732 is less than 83108). Euler's totient φ(83108) = 40872 numbers up to 83108 share no factor with it.
- 4
The digits of 83108 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83108 = 2^{2} \times 79 \times 263 \]83108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 147840 |
| Euler totient φ(n) | 40872 |
| Square | 6906939664 |
| Cube | 574021941595712 |
| Square root | 288.284582 (= 2√20777) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.3108 × |
83108 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and eight |
| Binary (base 2) | 10100010010100100 |
| Octal (base 8) | 242244 |
| Hexadecimal (base 16) | 144A4 |
| Base 3 | 11020000002 |
| As time | 83108 seconds = 23 h 5 min 8 s |
Is 83108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83108 ÷ 2 = 41554) | 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 (83108 ÷ 4 = 20777) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 83108 a prime number?
No. 83108 = × 79 × 263, so it is divisible by 2.
What are the factors of 83108?
1, 2, 4, 79, 158, 263, 316, 526, 1052, 20777, 41554, 83108.
What is 83108 in binary?
10100010010100100 (hexadecimal 144A4, octal 242244).
What is the square root of 83108?
About 288.2846, exactly 2√20777.
Is 83108 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83108?
It is a composite number with 12 divisors.