The number 3104
3104 is a composite number with 12 divisors. Its prime factorisation is × 97. Divisors (12): 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3104: a Harshad number: divisible by its digit sum 8.
- 2
3104 is composite. Its prime factorisation is
- 3
The divisors add up to 6174; without 3104 itself that is 3070, so 3104 is deficient (3070 is less than 3104). Euler's totient φ(3104) = 1536 numbers up to 3104 share no factor with it.
- 4
The digits of 3104 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3104 = 2^{5} \times 97 \]3104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6174 |
| Euler totient φ(n) | 1536 |
| Square | 9634816 |
| Cube | 29906468864 |
| Square root | 55.713553 (= 4√194) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.104 × |
3104 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and four |
| Roman numerals | MMMCIV |
| Binary (base 2) | 110000100000 |
| Octal (base 8) | 6040 |
| Hexadecimal (base 16) | C20 |
| Base 3 | 11020222 |
| As time | 3104 seconds = 51 min 44 s |
Is 3104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3104 ÷ 2 = 1552) | 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 (3104 ÷ 4 = 776) | 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 | Yes (3104 ÷ 8 = 388) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 3104 a prime number?
No. 3104 = × 97, so it is divisible by 2.
What are the factors of 3104?
1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104.
What is 3104 in binary?
110000100000 (hexadecimal C20, octal 6040).
What is the square root of 3104?
About 55.7136, exactly 4√194.
What is 3104 in Roman numerals?
MMMCIV.
Is 3104 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3104?
3104 is a Harshad number: divisible by its digit sum 8.