The number 83216
83216 is a composite number with 20 divisors. Its prime factorisation is × 7 × 743. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 743, 1486, 2972, 5201, 5944, 10402 … 83216.
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How to work it out
- 1
83216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83216 is composite. Its prime factorisation is
- 3
The divisors add up to 184512; without 83216 itself that is 101296, so 83216 is abundant (101296 is more than 83216). Euler's totient φ(83216) = 35616 numbers up to 83216 share no factor with it.
- 4
The digits of 83216 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83216 = 2^{4} \times 7 \times 743 \]83216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 184512 |
| Euler totient φ(n) | 35616 |
| Square | 6924902656 |
| Cube | 576262699421696 |
| Square root | 288.471836 (= 4√5201) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3216 × |
83216 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and sixteen |
| Binary (base 2) | 10100010100010000 |
| Octal (base 8) | 242420 |
| Hexadecimal (base 16) | 14510 |
| Base 3 | 11020011002 |
| As time | 83216 seconds = 23 h 6 min 56 s |
Is 83216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83216 ÷ 2 = 41608) | 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 (83216 ÷ 4 = 20804) | 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 | Yes (83216 ÷ 7 = 11888) | 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 | Yes (83216 ÷ 8 = 10402) | 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 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83216 a prime number?
No. 83216 = × 7 × 743, so it is divisible by 2.
What are the factors of 83216?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 743, 1486, 2972, 5201, 5944, 10402, 11888, 20804, 41608, 83216.
What is 83216 in binary?
10100010100010000 (hexadecimal 14510, octal 242420).
What is the square root of 83216?
About 288.4718, exactly 4√5201.
Is 83216 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83216?
It is a composite number with 20 divisors.