The number 7804
7804 is a composite number with 6 divisors. Its prime factorisation is × 1951. Divisors (6): 1, 2, 4, 1951, 3902, 7804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7804: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7804 is composite. Its prime factorisation is
- 3
The divisors add up to 13664; without 7804 itself that is 5860, so 7804 is deficient (5860 is less than 7804). Euler's totient φ(7804) = 3900 numbers up to 7804 share no factor with it.
- 4
The digits of 7804 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7804 = 2^{2} \times 1951 \]7804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 13664 |
| Euler totient φ(n) | 3900 |
| Square | 60902416 |
| Cube | 475282454464 |
| Square root | 88.340251 (= 2√1951) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 176 |
| Scientific notation | 7.804 × |
7804 in other forms
| Form | Value |
|---|---|
| In words | seven thousand eight hundred and four |
| Binary (base 2) | 1111001111100 |
| Octal (base 8) | 17174 |
| Hexadecimal (base 16) | 1E7C |
| Base 3 | 101201001 |
| As time | 7804 seconds = 2 h 10 min 4 s |
Is 7804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7804 ÷ 2 = 3902) | 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 (7804 ÷ 4 = 1951) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | 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 7804 a prime number?
No. 7804 = × 1951, so it is divisible by 2.
What are the factors of 7804?
1, 2, 4, 1951, 3902, 7804.
What is 7804 in binary?
1111001111100 (hexadecimal 1E7C, octal 17174).
What is the square root of 7804?
About 88.3403, exactly 2√1951.
Is 7804 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7804?
7804 is a happy number: repeatedly adding the squares of its digits reaches 1.