The number 80064
80064 is a composite number with 42 divisors. Its prime factorisation is × × 139. Divisors (42): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72 … 80064.
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How to work it out
- 1
What is special about 80064: a Harshad number: divisible by its digit sum 18.
- 2
80064 is composite. Its prime factorisation is
- 3
The divisors add up to 231140; without 80064 itself that is 151076, so 80064 is abundant (151076 is more than 80064). Euler's totient φ(80064) = 26496 numbers up to 80064 share no factor with it.
- 4
The digits of 80064 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80064 = 2^{6} \times 3^{2} \times 139 \]80064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 231140 |
| Euler totient φ(n) | 26496 |
| Square | 6410244096 |
| Cube | 513229783302144 |
| Square root | 282.955827 (= 24√139) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.0064 × |
80064 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and sixty-four |
| Binary (base 2) | 10011100011000000 |
| Octal (base 8) | 234300 |
| Hexadecimal (base 16) | 138C0 |
| Base 3 | 11001211100 |
| As time | 80064 seconds = 22 h 14 min 24 s |
Is 80064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80064 ÷ 2 = 40032) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80064 ÷ 3 = 26688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80064 ÷ 4 = 20016) | 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 (80064 ÷ 6 = 13344) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (80064 ÷ 8 = 10008) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80064 ÷ 9 = 8896) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80064 ÷ 12 = 6672) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80064 a prime number?
No. 80064 = × × 139, so it is divisible by 2.
What are the factors of 80064?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 139, 144, 192, 278, 288, 417, 556, 576, 834, 1112, 1251, 1668, 2224, 2502, 3336, 4448, 5004, 6672, 8896, 10008, 13344, 20016, 26688, 40032, 80064.
What is 80064 in binary?
10011100011000000 (hexadecimal 138C0, octal 234300).
What is the square root of 80064?
About 282.9558, exactly 24√139.
Is 80064 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80064?
80064 is a Harshad number: divisible by its digit sum 18.