The number 7104
7104 is a composite number with 28 divisors. Its prime factorisation is × 3 × 37. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111 … 7104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7104: a Harshad number: divisible by its digit sum 12.
- 2
7104 is composite. Its prime factorisation is
- 3
The divisors add up to 19304; without 7104 itself that is 12200, so 7104 is abundant (12200 is more than 7104). Euler's totient φ(7104) = 2304 numbers up to 7104 share no factor with it.
- 4
The digits of 7104 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7104 = 2^{6} \times 3 \times 37 \]7104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 19304 |
| Euler totient φ(n) | 2304 |
| Square | 50466816 |
| Cube | 358516260864 |
| Square root | 84.285230 (= 8√111) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 7.104 × |
7104 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and four |
| Binary (base 2) | 1101111000000 |
| Octal (base 8) | 15700 |
| Hexadecimal (base 16) | 1BC0 |
| Base 3 | 100202010 |
| As time | 7104 seconds = 1 h 58 min 24 s |
Is 7104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7104 ÷ 2 = 3552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7104 ÷ 3 = 2368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7104 ÷ 4 = 1776) | 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 | Yes (7104 ÷ 6 = 1184) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (7104 ÷ 8 = 888) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7104 ÷ 12 = 592) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7104 a prime number?
No. 7104 = × 3 × 37, so it is divisible by 2.
What are the factors of 7104?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104.
What is 7104 in binary?
1101111000000 (hexadecimal 1BC0, octal 15700).
What is the square root of 7104?
About 84.2852, exactly 8√111.
Is 7104 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 7104?
7104 is a Harshad number: divisible by its digit sum 12.