The number 6072
6072 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 23. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69 … 6072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6072 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 6072 itself that is 11208, so 6072 is abundant (11208 is more than 6072). Euler's totient φ(6072) = 1760 numbers up to 6072 share no factor with it.
- 4
The digits of 6072 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6072 = 2^{3} \times 3 \times 11 \times 23 \]6072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 1760 |
| Square | 36869184 |
| Cube | 223869685248 |
| Square root | 77.923039 (= 2√1518) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.072 × |
6072 in other forms
| Form | Value |
|---|---|
| In words | six thousand and seventy-two |
| Binary (base 2) | 1011110111000 |
| Octal (base 8) | 13670 |
| Hexadecimal (base 16) | 17B8 |
| Base 3 | 22022220 |
| As time | 6072 seconds = 1 h 41 min 12 s |
Is 6072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6072 ÷ 2 = 3036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6072 ÷ 3 = 2024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6072 ÷ 4 = 1518) | 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 | Yes (6072 ÷ 6 = 1012) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (6072 ÷ 8 = 759) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6072 ÷ 11 = 552) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6072 ÷ 12 = 506) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6072 a prime number?
No. 6072 = × 3 × 11 × 23, so it is divisible by 2.
What are the factors of 6072?
1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072.
What is 6072 in binary?
1011110111000 (hexadecimal 17B8, octal 13670).
What is the square root of 6072?
About 77.9230, exactly 2√1518.
Is 6072 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 6072?
It is a composite number with 32 divisors.