The number 83817
83817 is a composite number with 12 divisors. Its prime factorisation is × 67 × 139. Divisors (12): 1, 3, 9, 67, 139, 201, 417, 603, 1251, 9313, 27939, 83817.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83817 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83817 is composite. Its prime factorisation is
- 3
The divisors add up to 123760; without 83817 itself that is 39943, so 83817 is deficient (39943 is less than 83817). Euler's totient φ(83817) = 54648 numbers up to 83817 share no factor with it.
- 4
The digits of 83817 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
\[ 83817 = 3^{2} \times 67 \times 139 \]83817 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123760 |
| Euler totient φ(n) | 54648 |
| Square | 7025289489 |
| Cube | 588838689099513 |
| Square root | 289.511658 (= 3√9313) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3817 × |
83817 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and seventeen |
| Binary (base 2) | 10100011101101001 |
| Octal (base 8) | 243551 |
| Hexadecimal (base 16) | 14769 |
| Base 3 | 11020222100 |
| As time | 83817 seconds = 23 h 16 min 57 s |
Is 83817 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 (83817 ÷ 3 = 27939) | 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 2) | 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 6) | 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 (83817 ÷ 9 = 9313) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 83817 a prime number?
No. 83817 = × 67 × 139, so it is divisible by 3.
What are the factors of 83817?
1, 3, 9, 67, 139, 201, 417, 603, 1251, 9313, 27939, 83817.
What is 83817 in binary?
10100011101101001 (hexadecimal 14769, octal 243551).
What is the square root of 83817?
About 289.5117, exactly 3√9313.
Is 83817 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83817?
It is a composite number with 12 divisors.