The number 97820
97820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 67 × 73. Divisors (24): 1, 2, 4, 5, 10, 20, 67, 73, 134, 146, 268, 292, 335, 365, 670, 730 … 97820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97820 is composite. Its prime factorisation is
- 3
The divisors add up to 211344; without 97820 itself that is 113524, so 97820 is abundant (113524 is more than 97820). Euler's totient φ(97820) = 38016 numbers up to 97820 share no factor with it.
- 4
The digits of 97820 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97820 = 2^{2} \times 5 \times 67 \times 73 \]97820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 211344 |
| Euler totient φ(n) | 38016 |
| Square | 9568752400 |
| Cube | 936015359768000 |
| Square root | 312.761890 (= 2√24455) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.782 × |
97820 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand eight hundred and twenty |
| Binary (base 2) | 10111111000011100 |
| Octal (base 8) | 277034 |
| Hexadecimal (base 16) | 17E1C |
| Base 3 | 11222011222 |
| As time | 97820 seconds = 27 h 10 min 20 s |
Is 97820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97820 ÷ 2 = 48910) | 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 (97820 ÷ 4 = 24455) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97820 ÷ 5 = 19564) | 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 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97820 ÷ 10 = 9782) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 97820 a prime number?
No. 97820 = × 5 × 67 × 73, so it is divisible by 2.
What are the factors of 97820?
1, 2, 4, 5, 10, 20, 67, 73, 134, 146, 268, 292, 335, 365, 670, 730, 1340, 1460, 4891, 9782, 19564, 24455, 48910, 97820.
What is 97820 in binary?
10111111000011100 (hexadecimal 17E1C, octal 277034).
What is the square root of 97820?
About 312.7619, exactly 2√24455.
Is 97820 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97820?
It is a composite number with 24 divisors.