The number 2079
2079 is a composite number with 16 divisors. Its prime factorisation is × 7 × 11. Divisors (16): 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2079 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2079 is composite. Its prime factorisation is
- 3
The divisors add up to 3840; without 2079 itself that is 1761, so 2079 is deficient (1761 is less than 2079). Euler's totient φ(2079) = 1080 numbers up to 2079 share no factor with it.
- 4
The digits of 2079 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2079 = 3^{3} \times 7 \times 11 \]2079 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3840 |
| Euler totient φ(n) | 1080 |
| Square | 4322241 |
| Cube | 8985939039 |
| Square root | 45.596052 (= 3√231) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 2.079 × |
2079 in other forms
| Form | Value |
|---|---|
| In words | two thousand and seventy-nine |
| Roman numerals | MMLXXIX |
| Binary (base 2) | 100000011111 |
| Octal (base 8) | 4037 |
| Hexadecimal (base 16) | 81F |
| Base 3 | 2212000 |
| As time | 2079 seconds = 34 min 39 s |
Is 2079 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2079 ÷ 3 = 693) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2079 ÷ 7 = 297) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2079 ÷ 9 = 231) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2079 ÷ 11 = 189) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2079 a prime number?
No. 2079 = × 7 × 11, so it is divisible by 3.
What are the factors of 2079?
1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079.
What is 2079 in binary?
100000011111 (hexadecimal 81F, octal 4037).
What is the square root of 2079?
About 45.5961, exactly 3√231.
What is 2079 in Roman numerals?
MMLXXIX.
Is 2079 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2079?
It is a composite number with 16 divisors.