The number 80088
80088 is a composite number with 32 divisors. Its prime factorisation is × 3 × 47 × 71. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 47, 71, 94, 141, 142, 188, 213, 282 … 80088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80088: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
80088 is composite. Its prime factorisation is
- 3
The divisors add up to 207360; without 80088 itself that is 127272, so 80088 is abundant (127272 is more than 80088). Euler's totient φ(80088) = 25760 numbers up to 80088 share no factor with it.
- 4
The digits of 80088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80088 = 2^{3} \times 3 \times 47 \times 71 \]80088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 207360 |
| Euler totient φ(n) | 25760 |
| Square | 6414087744 |
| Cube | 513691459241472 |
| Square root | 282.998233 (= 2√20022) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0088 × |
80088 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and eighty-eight |
| Binary (base 2) | 10011100011011000 |
| Octal (base 8) | 234330 |
| Hexadecimal (base 16) | 138D8 |
| Base 3 | 11001212020 |
| As time | 80088 seconds = 22 h 14 min 48 s |
Is 80088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80088 ÷ 2 = 40044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80088 ÷ 3 = 26696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80088 ÷ 4 = 20022) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80088 ÷ 6 = 13348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (80088 ÷ 8 = 10011) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80088 ÷ 12 = 6674) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80088 a prime number?
No. 80088 = × 3 × 47 × 71, so it is divisible by 2.
What are the factors of 80088?
1, 2, 3, 4, 6, 8, 12, 24, 47, 71, 94, 141, 142, 188, 213, 282, 284, 376, 426, 564, 568, 852, 1128, 1704, 3337, 6674, 10011, 13348, 20022, 26696, 40044, 80088.
What is 80088 in binary?
10011100011011000 (hexadecimal 138D8, octal 234330).
What is the square root of 80088?
About 282.9982, exactly 2√20022.
Is 80088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80088?
80088 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.