The number 8072
8072 is a composite number with 8 divisors. Its prime factorisation is × 1009. Divisors (8): 1, 2, 4, 8, 1009, 2018, 4036, 8072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8072 is composite. Its prime factorisation is
- 3
The divisors add up to 15150; without 8072 itself that is 7078, so 8072 is deficient (7078 is less than 8072). Euler's totient φ(8072) = 4032 numbers up to 8072 share no factor with it.
- 4
The digits of 8072 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8072 = 2^{3} \times 1009 \]8072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15150 |
| Euler totient φ(n) | 4032 |
| Square | 65157184 |
| Cube | 525948789248 |
| Square root | 89.844310 (= 2√2018) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.072 × |
8072 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and seventy-two |
| Binary (base 2) | 1111110001000 |
| Octal (base 8) | 17610 |
| Hexadecimal (base 16) | 1F88 |
| Base 3 | 102001222 |
| As time | 8072 seconds = 2 h 14 min 32 s |
Is 8072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8072 ÷ 2 = 4036) | 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 (8072 ÷ 4 = 2018) | 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 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 (8072 ÷ 8 = 1009) | 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 9) | 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 8072 a prime number?
No. 8072 = × 1009, so it is divisible by 2.
What are the factors of 8072?
1, 2, 4, 8, 1009, 2018, 4036, 8072.
What is 8072 in binary?
1111110001000 (hexadecimal 1F88, octal 17610).
What is the square root of 8072?
About 89.8443, exactly 2√2018.
Is 8072 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8072?
It is a composite number with 8 divisors.