The number 6104
6104 is a composite number with 16 divisors. Its prime factorisation is × 7 × 109. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104.
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How to work it out
- 1
6104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6104 is composite. Its prime factorisation is
- 3
The divisors add up to 13200; without 6104 itself that is 7096, so 6104 is abundant (7096 is more than 6104). Euler's totient φ(6104) = 2592 numbers up to 6104 share no factor with it.
- 4
The digits of 6104 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6104 = 2^{3} \times 7 \times 109 \]6104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13200 |
| Euler totient φ(n) | 2592 |
| Square | 37258816 |
| Cube | 227427812864 |
| Square root | 78.128100 (= 2√1526) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 155 |
| Scientific notation | 6.104 × |
6104 in other forms
| Form | Value |
|---|---|
| In words | six thousand one hundred and four |
| Binary (base 2) | 1011111011000 |
| Octal (base 8) | 13730 |
| Hexadecimal (base 16) | 17D8 |
| Base 3 | 22101002 |
| As time | 6104 seconds = 1 h 41 min 44 s |
Is 6104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6104 ÷ 2 = 3052) | 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 (6104 ÷ 4 = 1526) | 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 | Yes (6104 ÷ 7 = 872) | 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 (6104 ÷ 8 = 763) | 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 | No (remainder 10) | 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 6104 a prime number?
No. 6104 = × 7 × 109, so it is divisible by 2.
What are the factors of 6104?
1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104.
What is 6104 in binary?
1011111011000 (hexadecimal 17D8, octal 13730).
What is the square root of 6104?
About 78.1281, exactly 2√1526.
Is 6104 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 6104?
It is a composite number with 16 divisors.