The number 80072
80072 is a composite number with 8 divisors. Its prime factorisation is × 10009. Divisors (8): 1, 2, 4, 8, 10009, 20018, 40036, 80072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80072 is composite. Its prime factorisation is
- 3
The divisors add up to 150150; without 80072 itself that is 70078, so 80072 is deficient (70078 is less than 80072). Euler's totient φ(80072) = 40032 numbers up to 80072 share no factor with it.
- 4
The digits of 80072 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80072 = 2^{3} \times 10009 \]80072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 150150 |
| Euler totient φ(n) | 40032 |
| Square | 6411525184 |
| Cube | 513383644533248 |
| Square root | 282.969963 (= 2√20018) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0072 × |
80072 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and seventy-two |
| Binary (base 2) | 10011100011001000 |
| Octal (base 8) | 234310 |
| Hexadecimal (base 16) | 138C8 |
| Base 3 | 11001211122 |
| As time | 80072 seconds = 22 h 14 min 32 s |
Is 80072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80072 ÷ 2 = 40036) | 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 (80072 ÷ 4 = 20018) | 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 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 (80072 ÷ 8 = 10009) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 80072 a prime number?
No. 80072 = × 10009, so it is divisible by 2.
What are the factors of 80072?
1, 2, 4, 8, 10009, 20018, 40036, 80072.
What is 80072 in binary?
10011100011001000 (hexadecimal 138C8, octal 234310).
What is the square root of 80072?
About 282.9700, exactly 2√20018.
Is 80072 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80072?
It is a composite number with 8 divisors.