The number 2104
2104 is a composite number with 8 divisors. Its prime factorisation is × 263. Divisors (8): 1, 2, 4, 8, 263, 526, 1052, 2104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2104 is composite. Its prime factorisation is
- 3
The divisors add up to 3960; without 2104 itself that is 1856, so 2104 is deficient (1856 is less than 2104). Euler's totient φ(2104) = 1048 numbers up to 2104 share no factor with it.
- 4
The digits of 2104 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2104 = 2^{3} \times 263 \]2104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3960 |
| Euler totient φ(n) | 1048 |
| Square | 4426816 |
| Cube | 9314020864 |
| Square root | 45.869380 (= 2√526) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 2.104 × |
2104 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and four |
| Roman numerals | MMCIV |
| Binary (base 2) | 100000111000 |
| Octal (base 8) | 4070 |
| Hexadecimal (base 16) | 838 |
| Base 3 | 2212221 |
| As time | 2104 seconds = 35 min 4 s |
Is 2104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2104 ÷ 2 = 1052) | 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 (2104 ÷ 4 = 526) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (2104 ÷ 8 = 263) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 3) | 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 2104 a prime number?
No. 2104 = × 263, so it is divisible by 2.
What are the factors of 2104?
1, 2, 4, 8, 263, 526, 1052, 2104.
What is 2104 in binary?
100000111000 (hexadecimal 838, octal 4070).
What is the square root of 2104?
About 45.8694, exactly 2√526.
What is 2104 in Roman numerals?
MMCIV.
Is 2104 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 2104?
It is a composite number with 8 divisors.