The number 83996
83996 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 83. Divisors (24): 1, 2, 4, 11, 22, 23, 44, 46, 83, 92, 166, 253, 332, 506, 913, 1012 … 83996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83996 is composite. Its prime factorisation is
- 3
The divisors add up to 169344; without 83996 itself that is 85348, so 83996 is abundant (85348 is more than 83996). Euler's totient φ(83996) = 36080 numbers up to 83996 share no factor with it.
- 4
The digits of 83996 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83996 = 2^{2} \times 11 \times 23 \times 83 \]83996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 169344 |
| Euler totient φ(n) | 36080 |
| Square | 7055328016 |
| Cube | 592619332031936 |
| Square root | 289.820634 (= 2√20999) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3996 × |
83996 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and ninety-six |
| Binary (base 2) | 10100100000011100 |
| Octal (base 8) | 244034 |
| Hexadecimal (base 16) | 1481C |
| Base 3 | 11021012222 |
| As time | 83996 seconds = 23 h 19 min 56 s |
Is 83996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83996 ÷ 2 = 41998) | 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 (83996 ÷ 4 = 20999) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (83996 ÷ 11 = 7636) | 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 83996 a prime number?
No. 83996 = × 11 × 23 × 83, so it is divisible by 2.
What are the factors of 83996?
1, 2, 4, 11, 22, 23, 44, 46, 83, 92, 166, 253, 332, 506, 913, 1012, 1826, 1909, 3652, 3818, 7636, 20999, 41998, 83996.
What is 83996 in binary?
10100100000011100 (hexadecimal 1481C, octal 244034).
What is the square root of 83996?
About 289.8206, exactly 2√20999.
Is 83996 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 83996?
It is a composite number with 24 divisors.