The number 4072
4072 is a composite number with 8 divisors. Its prime factorisation is × 509. Divisors (8): 1, 2, 4, 8, 509, 1018, 2036, 4072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4072 is composite. Its prime factorisation is
- 3
The divisors add up to 7650; without 4072 itself that is 3578, so 4072 is deficient (3578 is less than 4072). Euler's totient φ(4072) = 2032 numbers up to 4072 share no factor with it.
- 4
The digits of 4072 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4072 = 2^{3} \times 509 \]4072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7650 |
| Euler totient φ(n) | 2032 |
| Square | 16581184 |
| Cube | 67518581248 |
| Square root | 63.812225 (= 2√1018) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.072 × |
4072 in other forms
| Form | Value |
|---|---|
| In words | four thousand and seventy-two |
| Binary (base 2) | 111111101000 |
| Octal (base 8) | 7750 |
| Hexadecimal (base 16) | FE8 |
| Base 3 | 12120211 |
| As time | 4072 seconds = 1 h 7 min 52 s |
Is 4072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4072 ÷ 2 = 2036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4072 ÷ 4 = 1018) | 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 4) | 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 (4072 ÷ 8 = 509) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4072 a prime number?
No. 4072 = × 509, so it is divisible by 2.
What are the factors of 4072?
1, 2, 4, 8, 509, 1018, 2036, 4072.
What is 4072 in binary?
111111101000 (hexadecimal FE8, octal 7750).
What is the square root of 4072?
About 63.8122, exactly 2√1018.
Is 4072 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4072?
It is a composite number with 8 divisors.