The number 97804
97804 is a composite number with 18 divisors. Its prime factorisation is × × 499. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 499, 998, 1996, 3493, 6986, 13972, 24451 … 97804.
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How to work it out
- 1
What is special about 97804: a Harshad number: divisible by its digit sum 28.
- 2
97804 is composite. Its prime factorisation is
- 3
The divisors add up to 199500; without 97804 itself that is 101696, so 97804 is abundant (101696 is more than 97804). Euler's totient φ(97804) = 41832 numbers up to 97804 share no factor with it.
- 4
The digits of 97804 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97804 = 2^{2} \times 7^{2} \times 499 \]97804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 199500 |
| Euler totient φ(n) | 41832 |
| Square | 9565622416 |
| Cube | 935556134774464 |
| Square root | 312.736311 (= 14√499) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7804 × |
97804 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand eight hundred and four |
| Binary (base 2) | 10111111000001100 |
| Octal (base 8) | 277014 |
| Hexadecimal (base 16) | 17E0C |
| Base 3 | 11222011101 |
| As time | 97804 seconds = 27 h 10 min 4 s |
Is 97804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97804 ÷ 2 = 48902) | 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 (97804 ÷ 4 = 24451) | 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 | Yes (97804 ÷ 7 = 13972) | 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 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 97804 a prime number?
No. 97804 = × × 499, so it is divisible by 2.
What are the factors of 97804?
1, 2, 4, 7, 14, 28, 49, 98, 196, 499, 998, 1996, 3493, 6986, 13972, 24451, 48902, 97804.
What is 97804 in binary?
10111111000001100 (hexadecimal 17E0C, octal 277014).
What is the square root of 97804?
About 312.7363, exactly 14√499.
Is 97804 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97804?
97804 is a Harshad number: divisible by its digit sum 28.