The number 97080
97080 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 809. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 97080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97080: a Harshad number: divisible by its digit sum 24.
- 2
97080 is composite. Its prime factorisation is
- 3
The divisors add up to 291600; without 97080 itself that is 194520, so 97080 is abundant (194520 is more than 97080). Euler's totient φ(97080) = 25856 numbers up to 97080 share no factor with it.
- 4
The digits of 97080 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 252 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97080 = 2^{3} \times 3 \times 5 \times 809 \]97080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 291600 |
| Euler totient φ(n) | 25856 |
| Square | 9424526400 |
| Cube | 914933022912000 |
| Square root | 311.576636 (= 2√24270) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 252 |
| Scientific notation | 9.708 × |
97080 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and eighty |
| Binary (base 2) | 10111101100111000 |
| Octal (base 8) | 275470 |
| Hexadecimal (base 16) | 17B38 |
| Base 3 | 11221011120 |
| As time | 97080 seconds = 26 h 58 min 0 s |
Is 97080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97080 ÷ 2 = 48540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97080 ÷ 3 = 32360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97080 ÷ 4 = 24270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97080 ÷ 5 = 19416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97080 ÷ 6 = 16180) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (97080 ÷ 8 = 12135) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97080 ÷ 10 = 9708) | 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 | Yes (97080 ÷ 12 = 8090) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97080 a prime number?
No. 97080 = × 3 × 5 × 809, so it is divisible by 2.
What are the factors of 97080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 809, 1618, 2427, 3236, 4045, 4854, 6472, 8090, 9708, 12135, 16180, 19416, 24270, 32360, 48540, 97080.
What is 97080 in binary?
10111101100111000 (hexadecimal 17B38, octal 275470).
What is the square root of 97080?
About 311.5766, exactly 2√24270.
Is 97080 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 97080?
97080 is a Harshad number: divisible by its digit sum 24.