The number 2072
2072 is a composite number with 16 divisors. Its prime factorisation is × 7 × 37. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2072 is composite. Its prime factorisation is
- 3
The divisors add up to 4560; without 2072 itself that is 2488, so 2072 is abundant (2488 is more than 2072). Euler's totient φ(2072) = 864 numbers up to 2072 share no factor with it.
- 4
The digits of 2072 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2072 = 2^{3} \times 7 \times 37 \]2072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4560 |
| Euler totient φ(n) | 864 |
| Square | 4293184 |
| Cube | 8895477248 |
| Square root | 45.519227 (= 2√518) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 2.072 × |
2072 in other forms
| Form | Value |
|---|---|
| In words | two thousand and seventy-two |
| Roman numerals | MMLXXII |
| Binary (base 2) | 100000011000 |
| Octal (base 8) | 4030 |
| Hexadecimal (base 16) | 818 |
| Base 3 | 2211202 |
| As time | 2072 seconds = 34 min 32 s |
Is 2072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2072 ÷ 2 = 1036) | 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 (2072 ÷ 4 = 518) | 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 | Yes (2072 ÷ 7 = 296) | 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 (2072 ÷ 8 = 259) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 2072 a prime number?
No. 2072 = × 7 × 37, so it is divisible by 2.
What are the factors of 2072?
1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072.
What is 2072 in binary?
100000011000 (hexadecimal 818, octal 4030).
What is the square root of 2072?
About 45.5192, exactly 2√518.
What is 2072 in Roman numerals?
MMLXXII.
Is 2072 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2072?
It is a composite number with 16 divisors.