The number 83016
83016 is a composite number with 24 divisors. Its prime factorisation is × × 1153. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1153, 2306, 3459, 4612 … 83016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83016: a Harshad number: divisible by its digit sum 18.
- 2
83016 is composite. Its prime factorisation is
- 3
The divisors add up to 225030; without 83016 itself that is 142014, so 83016 is abundant (142014 is more than 83016). Euler's totient φ(83016) = 27648 numbers up to 83016 share no factor with it.
- 4
The digits of 83016 add up to 18, 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
\[ 83016 = 2^{3} \times 3^{2} \times 1153 \]83016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 225030 |
| Euler totient φ(n) | 27648 |
| Square | 6891656256 |
| Cube | 572117735748096 |
| Square root | 288.124973 (= 6√2306) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3016 × |
83016 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and sixteen |
| Binary (base 2) | 10100010001001000 |
| Octal (base 8) | 242110 |
| Hexadecimal (base 16) | 14448 |
| Base 3 | 11012212200 |
| As time | 83016 seconds = 23 h 3 min 36 s |
Is 83016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83016 ÷ 2 = 41508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83016 ÷ 3 = 27672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83016 ÷ 4 = 20754) | 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 | Yes (83016 ÷ 6 = 13836) | 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 | Yes (83016 ÷ 8 = 10377) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83016 ÷ 9 = 9224) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83016 ÷ 12 = 6918) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83016 a prime number?
No. 83016 = × × 1153, so it is divisible by 2.
What are the factors of 83016?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1153, 2306, 3459, 4612, 6918, 9224, 10377, 13836, 20754, 27672, 41508, 83016.
What is 83016 in binary?
10100010001001000 (hexadecimal 14448, octal 242110).
What is the square root of 83016?
About 288.1250, exactly 6√2306.
Is 83016 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83016?
83016 is a Harshad number: divisible by its digit sum 18.