The number 83024
83024 is a composite number with 10 divisors. Its prime factorisation is × 5189. Divisors (10): 1, 2, 4, 8, 16, 5189, 10378, 20756, 41512, 83024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83024 is composite. Its prime factorisation is
- 3
The divisors add up to 160890; without 83024 itself that is 77866, so 83024 is deficient (77866 is less than 83024). Euler's totient φ(83024) = 41504 numbers up to 83024 share no factor with it.
- 4
The digits of 83024 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83024 = 2^{4} \times 5189 \]83024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 160890 |
| Euler totient φ(n) | 41504 |
| Square | 6892984576 |
| Cube | 572283151437824 |
| Square root | 288.138855 (= 4√5189) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3024 × |
83024 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and twenty-four |
| Binary (base 2) | 10100010001010000 |
| Octal (base 8) | 242120 |
| Hexadecimal (base 16) | 14450 |
| Base 3 | 11012212222 |
| As time | 83024 seconds = 23 h 3 min 44 s |
Is 83024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83024 ÷ 2 = 41512) | 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 (83024 ÷ 4 = 20756) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 (83024 ÷ 8 = 10378) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 83024 a prime number?
No. 83024 = × 5189, so it is divisible by 2.
What are the factors of 83024?
1, 2, 4, 8, 16, 5189, 10378, 20756, 41512, 83024.
What is 83024 in binary?
10100010001010000 (hexadecimal 14450, octal 242120).
What is the square root of 83024?
About 288.1389, exactly 4√5189.
Is 83024 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 83024?
It is a composite number with 10 divisors.