The number 83788
83788 is a composite number with 6 divisors. Its prime factorisation is × 20947. Divisors (6): 1, 2, 4, 20947, 41894, 83788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83788 is composite. Its prime factorisation is
- 3
The divisors add up to 146636; without 83788 itself that is 62848, so 83788 is deficient (62848 is less than 83788). Euler's totient φ(83788) = 41892 numbers up to 83788 share no factor with it.
- 4
The digits of 83788 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83788 = 2^{2} \times 20947 \]83788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 146636 |
| Euler totient φ(n) | 41892 |
| Square | 7020428944 |
| Cube | 588227700359872 |
| Square root | 289.461569 (= 2√20947) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3788 × |
83788 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and eighty-eight |
| Binary (base 2) | 10100011101001100 |
| Octal (base 8) | 243514 |
| Hexadecimal (base 16) | 1474C |
| Base 3 | 11020221021 |
| As time | 83788 seconds = 23 h 16 min 28 s |
Is 83788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83788 ÷ 2 = 41894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83788 ÷ 4 = 20947) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83788 a prime number?
No. 83788 = × 20947, so it is divisible by 2.
What are the factors of 83788?
1, 2, 4, 20947, 41894, 83788.
What is 83788 in binary?
10100011101001100 (hexadecimal 1474C, octal 243514).
What is the square root of 83788?
About 289.4616, exactly 2√20947.
Is 83788 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 83788?
It is a composite number with 6 divisors.