The number 81024
81024 is a composite number with 32 divisors. Its prime factorisation is × 3 × 211. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 211 … 81024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
81024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
81024 is composite. Its prime factorisation is
- 3
The divisors add up to 216240; without 81024 itself that is 135216, so 81024 is abundant (135216 is more than 81024). Euler's totient φ(81024) = 26880 numbers up to 81024 share no factor with it.
- 4
The digits of 81024 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 81024 = 2^{7} \times 3 \times 211 \]81024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 216240 |
| Euler totient φ(n) | 26880 |
| Square | 6564888576 |
| Cube | 531913531981824 |
| Square root | 284.647150 (= 8√1266) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 37 |
| Scientific notation | 8.1024 × |
81024 in other forms
| Form | Value |
|---|---|
| In words | eighty-one thousand and twenty-four |
| Binary (base 2) | 10011110010000000 |
| Octal (base 8) | 236200 |
| Hexadecimal (base 16) | 13C80 |
| Base 3 | 11010010220 |
| As time | 81024 seconds = 22 h 30 min 24 s |
Is 81024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (81024 ÷ 2 = 40512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (81024 ÷ 3 = 27008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (81024 ÷ 4 = 20256) | 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 | Yes (81024 ÷ 6 = 13504) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (81024 ÷ 8 = 10128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (81024 ÷ 12 = 6752) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 81024 a prime number?
No. 81024 = × 3 × 211, so it is divisible by 2.
What are the factors of 81024?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 211, 384, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128, 13504, 20256, 27008, 40512, 81024.
What is 81024 in binary?
10011110010000000 (hexadecimal 13C80, octal 236200).
What is the square root of 81024?
About 284.6471, exactly 8√1266.
Is 81024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 81024?
It is a composite number with 32 divisors.