The number 83072
83072 is a composite number with 32 divisors. Its prime factorisation is × 11 × 59. Divisors (32): 1, 2, 4, 8, 11, 16, 22, 32, 44, 59, 64, 88, 118, 128, 176, 236 … 83072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83072 is composite. Its prime factorisation is
- 3
The divisors add up to 183600; without 83072 itself that is 100528, so 83072 is abundant (100528 is more than 83072). Euler's totient φ(83072) = 37120 numbers up to 83072 share no factor with it.
- 4
The digits of 83072 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
\[ 83072 = 2^{7} \times 11 \times 59 \]83072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 183600 |
| Euler totient φ(n) | 37120 |
| Square | 6900957184 |
| Cube | 573276315189248 |
| Square root | 288.222137 (= 8√1298) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3072 × |
83072 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and seventy-two |
| Binary (base 2) | 10100010010000000 |
| Octal (base 8) | 242200 |
| Hexadecimal (base 16) | 14480 |
| Base 3 | 11012221202 |
| As time | 83072 seconds = 23 h 4 min 32 s |
Is 83072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83072 ÷ 2 = 41536) | 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 (83072 ÷ 4 = 20768) | 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 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 | Yes (83072 ÷ 8 = 10384) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (83072 ÷ 11 = 7552) | 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 83072 a prime number?
No. 83072 = × 11 × 59, so it is divisible by 2.
What are the factors of 83072?
1, 2, 4, 8, 11, 16, 22, 32, 44, 59, 64, 88, 118, 128, 176, 236, 352, 472, 649, 704, 944, 1298, 1408, 1888, 2596, 3776, 5192, 7552, 10384, 20768, 41536, 83072.
What is 83072 in binary?
10100010010000000 (hexadecimal 14480, octal 242200).
What is the square root of 83072?
About 288.2221, exactly 8√1298.
Is 83072 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83072?
It is a composite number with 32 divisors.