The number 2684
2684 is a composite number with 12 divisors. Its prime factorisation is × 11 × 61. Divisors (12): 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2684 is composite. Its prime factorisation is
- 3
The divisors add up to 5208; without 2684 itself that is 2524, so 2684 is deficient (2524 is less than 2684). Euler's totient φ(2684) = 1200 numbers up to 2684 share no factor with it.
- 4
The digits of 2684 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2684 = 2^{2} \times 11 \times 61 \]2684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5208 |
| Euler totient φ(n) | 1200 |
| Square | 7203856 |
| Cube | 19335149504 |
| Square root | 51.807335 (= 2√671) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 2.684 × |
2684 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and eighty-four |
| Roman numerals | MMDCLXXXIV |
| Binary (base 2) | 101001111100 |
| Octal (base 8) | 5174 |
| Hexadecimal (base 16) | A7C |
| Base 3 | 10200102 |
| As time | 2684 seconds = 44 min 44 s |
Is 2684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2684 ÷ 2 = 1342) | 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 (2684 ÷ 4 = 671) | 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 2) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2684 ÷ 11 = 244) | 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 2684 a prime number?
No. 2684 = × 11 × 61, so it is divisible by 2.
What are the factors of 2684?
1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684.
What is 2684 in binary?
101001111100 (hexadecimal A7C, octal 5174).
What is the square root of 2684?
About 51.8073, exactly 2√671.
What is 2684 in Roman numerals?
MMDCLXXXIV.
Is 2684 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2684?
It is a composite number with 12 divisors.